The bureaucracies are forcing scientists to use dumb performance measures like the H-index in their reports. This trend is really scary ! (Those numbers don’t help us to advance sciences, but instead they tend to corrupt scientists).
I was also forced to do it for a grant application. So here are my citations and indexes, in case anybody cares.
List of Publications and Citations
of Nguyen Tien Zung
16/July/2010
Variations of the name: Zung, NT; Nguyen, TZ; Nguen, TZ.
Number of publications: 35
Number of citations found in research papers (which are/will be indexed in MathSciNet and/or ISI): 44 + 44 + 29 + 22 + 17 + 16 + 14 + 12 + 12 + 12 + 11 + 10 + 9 + 7 + 7 + 6 + 6 + 6 + 5 + 5 + 4 + 4 + 3 + 2 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 0 + 0 = 316 (including 56 self-citations)
H-index = 11, G-index = 16 (based on the above numbers)
Number of citing monographs: 15
Number of citing authors: 221
(MathSciNet shows only 177 citations, by 128 authors, as of 16/July/2010. The differences are due to: old citations before 2000, papers in physics and chemistry journals, news citations in 2010, and omissions & errors)
The following list of publications and citations is ordered by the number of citations.
* = papers in physics or chemistry which are not included in the citation database of MathSciNet
** = papers up to year 2000 which are not included in the citation database of MathSciNet
^ = self-citations (papers written by the author)
There is also a list of citing monographs, a list of “lost” citations, and a list of citing authors.
List of pubilcations:
- Symplectic topology of integrable Hamiltonian systems. I. Arnold-Liouville with singularities. Compositio Math. 101 (1996), no. 2, 179–215.
- А. В. Болсинов, А. В. Борисов, И. С. Мамаев, “Топология и устойчивость интегрируемых систем”, УМН, 65:2(392) (2010), 71–132
- K. Efstathiou, DA Sadovskii, Normalization and global analysis of perturbations of the hydrogen atom, Reviews of Modern Physics (2010).
- HW Broer, K Efstathiou, OV Lukina, A geometric fractional monodromy theorem, Disc. Cont. Dyn. Sys. Ser S (2010).
- K. Efstathiou, D. Sugny, Integrable Hamiltonian systems with swallowtails, Jornal of Physics A – mathematical and theoretical, 43 (2010), issue 8.
- Sepe, Daniele . Topological classification of Lagrangian fibrations. J. Geom. Phys. 60 (2010), no. 2, 341–351.
- JJ Duistermaat and A Pelayo,Topology of symplectic actions with symplectic orbits, Revista Mathematica Complutense (2010).
- AV Bolsinov, AA Oshemkov, Bi-Hamiltonian structures and singularities of integrable systems, Regular Chaotic Dynamics, 14 (2009), 431–454.
- Pelayo, Alvaro ; Vũ Ng\d oc, San . Semitoric integrable systems on symplectic 4-manifolds. Invent. Math. 177 (2009), no. 3, 571–597.
- Castaño Bernard, Ricardo ; Matessi, Diego . Lagrangian 3-torus fibrations. J. Differential Geom. 81 (2009), no. 3, 483–573.
- Giacobbe, Andrea . Fractional monodromy: parallel transport of homology cycles. Differential Geom. Appl. 26 (2008), no. 2, 140–150.
- M. Radnovic and V. Rom-Kedar, Foliations of isoenergy surfaces and singularities of curves, Reg. Chaotic. Dynamics, 13 (2008), 645–668.
- Davison, Chris M. ; Dullin, Holger R. ; Bolsinov, Alexey V. Geodesics on the ellipsoid and monodromy. J. Geom. Phys. 57 (2007), no. 12, 2437–2454.
- HR Dullin, S Vu Ngoc, Symplectic invariant near hyperbolic-hyperbolic singular points, Regular and Chaotic Dynamics, 12 (2007), 689–716.
- Nekhoroshev, N. N. Fractional monodromy in the case of arbitrary resonances. (Russian) Mat. Sb. 198 (2007), no. 3, 91–136; translation in Sb. Math. 198 (2007), no. 3-4, 383–424
- AV Bolsinov and AA Oshemkov, Singularities of integrable Hamiltonian systems. Topological methods in the theory of integrable Hamiltonian systems, 1–67, Cambridge Sci. Publ., 2006.
- Korovina, N. V. Orbital equivalence of integrable Hamiltonian systems in neighborhoods of leaves of saddle-center type. (Russian) Dokl. Akad. Nauk 408 (2006), no. 5, 583–586.
- Roy, Nicolas . Intersections of Lagrangian submanifolds and the Melʹnikov 1-form. J. Geom. Phys. 56 (2006), no. 11, 2203–2229.
- San Vũ Ngoc, Symplectic techniques for semiclassical completely integrable systems. Topological methods in the theory of integrable systems, 241–270, Camb. Sci. Publ., Cambridge, 2006.
- Foxman, J. A. ; Robbins, J. M. The Maslov index and nondegenerate singularities of integrable systems. Nonlinearity 18 (2005), no. 6, 2775–2794.
- Benvegnù, Alberto ; Sansonetto, Nicola ; Spera, Mauro . Remarks on geometric quantum mechanics. J. Geom. Phys. 51 (2004), no. 2, 229–243.
- Colin de Verdière, Yves ; Vũ Ng\d oc, San . Singular Bohr-Sommerfeld rules for 2D integrable systems. Ann. Sci. École Norm. Sup. (4) 36 (2003), no. 1, 1–55.
- Toth, John A. ; Zelditch, Steve . $L^p$ norms of eigenfunctions in the completely integrable case. Ann. Henri Poincaré 4 (2003), no. 2, 343–368.
- Currás-Bosch, Carlos ; Miranda, Eva . Symplectic linearization of singular Lagrangian foliations in $M^4$. Differential Geom. Appl. 18 (2003), no. 2, 195–205.
- Mikrut, Piotr . Fillable contact structures on torus bundles over circles. Proc. Amer. Math. Soc. 130 (2002), no. 2, 599–607
- Symington, Margaret . Generalized symplectic rational blowdowns. Algebr. Geom. Topol. 1 (2001), 503–518 (electronic).
- Smith, Ivan . Torus fibrations on symplectic four-manifolds. Turkish J. Math. 25 (2001), no. 1, 69–95.
- L.M. Lerman, Isoenergetical structure of integrable Hamiltonian systems in an extended neighborhood of a simple singular point: three degrees of freedom. Methods of qualitative theory of differential equations and related topics, Supplement, 219–242 , Amer. Math. Soc. Transl. Ser. 2, 200, Amer. Math. Soc., Providence, RI, 2000.
- ** E.A. Kudryavtseva, Realization of smooth functions on surfaces as height functions. Sb. Math. 190 (1999), no. 3-4, 349–405.
- ** E.A. Kudryavtseva, Reduction of Morse functions on surfaces to canonical form by smooth deformation, Regular Chaotic Dynamics, 4 (1999), No. 3, 53–60.
- ** A.V. Bolsinov, Fomenko invariants in the theory of integrable Hamiltonian systems, Russian Math. Surveys, 52 (1997), No. 5.
- ** BS Kruglikov, On the image in $H^2(Q^3,R)$ of the set of presymplectic forms with a given kernel, Sbornik Math. 188 (1997), No. 1, 75–85.
- ** L.M. Lerman & Ya.L. Umanskii, Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $R^2$ in extended neighborhoods of simple singular points. III. Realizations, Sbornik Math. 186 (1995), no. 10, 1477–1491.
- ** B.S. Kruglikov, On an invariant of the characteristic distribution, Russian Math. Surv. 50 (1995), no. 4, 816-817.
- ^ Nguyen Tien Zung, Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems, Regular Chaotic Dynamics (2007).
- ^ Nguyen Tien Zung, Torus actions and integrable systems. In: Topological methods in the theory of integrable systems, Cambridge Sci. Publ. (2006).
- ^ Miranda, Eva ; Nguyen Tien Zung . Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems. Ann. Sci. École Norm. Sup. (4) 37 (2004), no. 6, 819–839.
- ^ Nguyen Tien Zung . Symplectic topology of integrable Hamiltonian systems. II. Topological classification. Compositio Math. 138 (2003), no. 2, 125–156.
- ^ Nguyen Tien Zung . Actions toriques et groupes d’automorphismes de singularités des systèmes dynamiques intégrables. (French) C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 1015–1020.
- ^ Nguyen Tien Zung . Another note on focus-focus singularities. Lett. Math. Phys. 60 (2002), no. 1, 87–99.
- ^ Zung, Nguyen Tien . A note on degenerate corank-one singularities of integrable Hamiltonian systems. Comment. Math. Helv. 75 (2000), no. 2, 271–283.
- ^** Tit Bau and Nguyen Tien Zung, Singularities of integrable and near-integrable Hamiltonian systems, J. Nonlinear Science (1997).
- ^** Nguyen Tien Zung, Kolmogorov condition for integrable systems with focus-focus singularities, Physics Letters A (1996).
- ^** Nguyen Tien Zung, Singularities of integrable geodesic flows on multidimensional torus and sphere, J. Geometry and Physics (1996).
- ^** Nguyen Tien Zung, Decomposition of singularities of integrable Hamiltonian systems, Lett. Math. Phys. (1995).
- A note on focus-focus singularities. Differential Geom. Appl. 7 (1997), no. 2, 123–130.
- K. Efstathiou, DA Sadovskii, Normalization and global analysis of perturbations of the hydrogen atom, Reviews of Modern Physics (2010).
- HW Broer, K Efstathiou, OV Lukina, A geometric fractional monodromy theorem, Disc. Cont. Dyn. Sys. Ser S (2010).
- Sansonetto, Nicola ; Spera, Mauro . Hamiltonian monodromy via geometric quantization and theta functions. J. Geom. Phys. 60 (2010), no. 3, 501–512.
- Sepe, Daniele . Topological classification of Lagrangian fibrations. J. Geom. Phys. 60 (2010), no. 2, 341–351.
- * O. Babelon, L. Cantini, B. Doucot, A semi-classical study of Jaynes-Cummings model, J. Stat. Mech. (2009)
- M. Radnovic and V. Rom-Kedar, Foliations of isoenergy surfaces and singularities of curves, Reg. Chaotic. Dynamics, 13 (2008), 645–668.
- Davison, Chris M. ; Dullin, Holger R. ; Bolsinov, Alexey V. Geodesics on the ellipsoid and monodromy. J. Geom. Phys. 57 (2007), no. 12, 2437–2454.
- Nekhoroshev, N. N. Fractional monodromy in the case of arbitrary resonances. (Russian) Mat. Sb. 198 (2007), no. 3, 91–136; translation in Sb. Math. 198 (2007), no. 3-4, 383–424
- Aksitov, R. I. Permutations of tori in integrable Hamiltonian systems and spectral series of pseudodifferential operators.(Russian) Mat. Zametki 81 (2007), no. 2, 174–183; translation in Math. Notes 81 (2007), no. 1-2, 156–163
- Vũ Ngoc, San . Moment polytopes for symplectic manifolds with monodromy. Adv. Math. 208 (2007), no. 2, 909–934.
- Broer, Henk W. ; Hanßmann, Heinz ; Hoo, Jun . The quasi-periodic Hamiltonian Hopf bifurcation. Nonlinearity 20 (2007), no. 2, 417–460.
- * Mark S. Child, Quantum monodromy and molecular spectroscopy, Advances in Chemical Physics, Vol. 136 (2007), 39-94.
- Nekhoroshev, Nikolaí N. ; Sadovskií, Dmitrií A. ; Zhilinskií, Boris I. Fractional Hamiltonian monodromy. Ann. Henri Poincaré 7 (2006), no. 6, 1099–1211.
- AV Bolsinov and AA Oshemkov, Singularities of integrable Hamiltonian systems. Topological methods in the theory of integrable Hamiltonian systems, 1–67, Cambridge Sci. Publ., 2006.
- * DA Sadovskii, BI Zhilinskii, Quantum monodromy and its generalizations and molecular manifestations, Molecular physics, 104 (2006), 2595–2615.
- * M. Winnewisser, B. Winnewisser, I. Matveev, F. De Lucia, S. Ross, L. Bates, The hidden kernel of molecular quasi-linearity: Quantum monodromy, Journal of Molecular Structure, 798 (2006), 1-26.
- San Vũ Ngoc, Symplectic techniques for semiclassical completely integrable systems. Topological methods in the theory of integrable systems, 241–270, Camb. Sci. Publ., Cambridge, 2006.
- Zhilinskii, B. Interpretation of quantum Hamiltonian monodromy in terms of lattice defects. Acta Appl. Math. 87 (2005), no. 1-3, 281–307.
- Gutiérrez-Romero, Susana ; Palacián, Jesús F. ; Yanguas, Patricia . A universal procedure for normalizing $n$-degree-of-freedom polynomial Hamiltonian systems. SIAM J. Appl. Math. 65 (2005), no. 4, 1130–1152 (electronic).
- Waalkens, Holger ; Dullin, Holger R. ; Richter, Peter H. The problem of two fixed centers: bifurcations, actions, monodromy. Phys. D 196 (2004), no. 3-4, 265–310.
- Dullin, Holger R. ; Vũ Ngoc, San . Vanishing twist near focus-focus points. Nonlinearity 17 (2004), no. 5, 1777–1785.
- Efstathiou, K. ; Cushman, R. H. ; Sadovskií, D. A. Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. Phys. D 194 (2004), no. 3-4, 250–274.
- K. Efstathiou, M. Joyeux, D.A. Sadovskii, Global bending quantum number and the absence of monodromy in the HCN <–> CNH molecule, Phys. Review A 69 (2004), 3.
- Dullin, Holger ; Giacobbe, Andrea ; Cushman, Richard . Monodromy in the resonant swing spring. Phys. D 190 (2004), no. 1-2, 15–37.
- Rink, Bob . A Cantor set of tori with monodromy near a focus-focus singularity. Nonlinearity 17 (2004), no. 1, 347–356.
- * I.N. Kozin, R.M. Roberts, Monodromy in the spectrum of a rigid symmetric top molecule in an electric field, J. Chem. Physics, 118 (2003), no. 23, 10523-10533.
- Vũ Ngoc, San . On semi-global invariants for focus-focus singularities. Topology 42 (2003), no. 2, 365–380.
- Nekhoroshev, Nikolaí N. ; Sadovskií, Dmitrií A. ; Zhilinskii, Boris I. Fractional monodromy of resonant classical and quantum oscillators. C. R. Math. Acad. Sci. Paris 335 (2002), no. 11, 985–988.
- Cushman, R. ; Vũ Ngoc San . Sign of the monodromy for Liouville integrable systems. Ann. Henri Poincaré 3 (2002), no. 5, 883–894.
- Audin, Michèle . Hamiltonian monodromy via Picard-Lefschetz theory. Comm. Math. Phys. 229 (2002), no. 3, 459–489.
- Rink, B. Direction-reversing traveling waves in the even Fermi-Pasta-Ulam lattice. J. Nonlinear Sci. 12 (2002), no. 5, 479–504.
- Ferrer, Sebastián ; Hanßmann, Heinz ; Palacián, Jesús ; Yanguas, Patricia . On perturbed oscillators in 1-1-1 resonance: the case of axially symmetric cubic potentials. J. Geom. Phys. 40 (2002), no. 3-4, 320–369.
- * H. Waalkens, H. Dullin, Quantum monodromy in prolate ellipsoidal billiards, Ann. Physics 295 (2002), no. 1, 81–112.
- Symington, Margaret . Generalized symplectic rational blowdowns. Algebr. Geom. Topol. 1 (2001), 503–518.
- Cushman, R. ; Duistermaat, J. J. Non-Hamiltonian monodromy. J. Differential Equations 172 (2001), no. 1, 42–58.
- Cushman, R. H. ; Sadovskií, D. A. Monodromy in the hydrogen atom in crossed fields. Phys. D 142 (2000), no. 1-2, 166–196.
- Vũ Ngoc, San . Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type. Comm. Pure Appl. Math. 53 (2000), no. 2, 143–217.
- ** Vu Ngoc S., Formes normales semi-classiques des systèmes complètement intégrables au voisinage d’un point critique de l’application moment, Asymptot. Anal. 24 (2000), no. 3-4, 319–342.
- ** L. Bates and R. Cushman, What is a completely integrable onnholonomic dynamical system ? Reports Math. Phys. 44 (1999), 29–35.
- ** Vu Ngoc S., Quantum monodromy in integrable systems, Comm. Math. Phys. 203 (1999), no. 2, 465–479.
- ** A.V. Bolsinov, Fomenko invariants in the theory of integrable Hamiltonian systems, Russian Math. Surveys, 52 (1997), No. 5.
- ^ Nguyen Tien Zung, Torus actions and integrable systems. In: Topological methods in the theory of integrable systems, Cambridge Sci. Publ. (2006).
- ^ Nguyen Tien Zung . Symplectic topology of integrable Hamiltonian systems. II. Topological classification. Compositio Math. 138 (2003), no. 2, 125–156.
- ^ Nguyen Tien Zung . Another note on focus-focus singularities. Lett. Math. Phys. 60 (2002), no. 1, 87–99.
- (With Jean-Paul Dufour) Poisson structures and their normal forms. Progress in Mathematics, 242. Birkhäuser Verlag, Basel, 2005. xvi+321 pp.
- JP Dufour, Decomposability of a Poisson tensor could be a stable phenomenon, Afrcian Diaspora Journal of Mathematics 9 (2010), No. 2, 47-81.
- Viktoria Heu, Universal isomonodromic deformations of meromorphic rank 2 connections on curves, Annales de l’institut Fourier, 60 no. 2 (2010), p. 515-549.
- F. Petalidou, On twisted contact groupoids and on integration of twisted Jacobi manifolds, Bulletin des Sciences Math., 2010.
- Bahayou, Amine ; Boucetta, Mohamed . Metacurvature of Riemannian Poisson-Lie groups. J. Lie Theory 19 (2009), no. 3, 439–462.
- Lohrmann, Philipp . Classification analytique de structures de Poisson. Bull. Soc. Math. France 137 (2009), no. 3, 321–386.
- Crasmareanu, Mircea . Last multipliers for multivectors with applications to Poisson geometry. Taiwanese J. Math. 13 (2009), no. 5, 1623–1636.
- Crasmareanu, Mircea ; Hreţcanu, Cristina-Elena . Last multipliers on Lie algebroids. Proc. Indian Acad. Sci. Math. Sci. 119 (2009), no. 3, 287–296.
- Bahayou, Amine ; Boucetta, Mohamed . Multiplicative noncommutative deformations of left invariant Riemannian metrics on Heisenberg groups. C. R. Math. Acad. Sci. Paris 347 (2009), no. 13-14, 791–796.
- Pelap, Serge Roméo Tagne . Poisson (co)homology of polynomial Poisson algebras in dimension four: Sklyanin’s case. J. Algebra 322 (2009), no. 4, 1151–1169.
- Goto, Ryushi . Poisson structures and generalized Kähler submanifolds. J. Math. Soc. Japan 61 (2009), no. 1, 107–132.
- L. Stolovitch, “Rigidity of Poisson Structures”, Особенности и приложения, Сборник статей, Тр. МИАН, 267, МАИК, М., 2009, 266–279. (Proceedings of the Steklov Institute of Mathematics).
- Tagne Pelap, Serge Roméo . On the Hochschild homology of elliptic Sklyanin algebras. Lett. Math. Phys. 87 (2009), no. 3, 267–281.
- Tudoran, Răzvan M. ; Tudoran, Ramona A. On a large class of three-dimensional Hamiltonian systems. J. Math. Phys. 50 (2009), no. 1, 012703, 9 pp.
- Lawton, Sean . Poisson geometry of ${\rm SL}(3,\Bbb C)$-character varieties relative to a surface with boundary. Trans. Amer. Math. Soc. 361 (2009), no. 5, 2397–2429.
- M. Bordemann, A. Makhlouf, Formality and deformation of universal enveloping algebras, International Journal of Theoretical Physics, 47 (2008), 311–332.
- JP Dufour, Examples of higher order stable singularities of Poisson structures, Contemporary Math. 450 (2008), 103–111.
- Kosmann-Schwarzbach, Y. ; Laurent-Gengoux, C. ; Weinstein, A. Modular classes of Lie algebroid morphisms. Transform. Groups 13 (2008), no. 3-4, 727–755.
- Lohrmann, Philipp . Sectorial normalization of Poisson structures. C. R. Math. Acad. Sci. Paris 346 (2008), no. 15-16, 829–832.
- Damianou, Pantelis A. ; Fernandes, Rui Loja . Integrable hierarchies and the modular class. Ann. Inst. Fourier (Grenoble) 58 (2008), no. 1, 107–137.
- Lin, Qian ; Liu, Zhangju ; Sheng, Yunhe . Quadratic deformations of Lie-Poisson structures. Lett. Math. Phys. 83 (2008), no. 3, 217–229.
- Fassò, Francesco ; Sansonetto, Nicola . Integrable almost-symplectic Hamiltonian systems. J. Math. Phys. 48 (2007), no. 9, 092902, 13 pp.
- Ctirad Klimcik, $q \to \infty$ limit of the quasitriangular WZW model, J. Nonlinear Math. Phys. 14 (2007), No. 4, 494–526.
- * M. Henkel, J. Unterberger, Supersymmetric extension of Schrodinger-invariance, Nuclear Physics B, vol. 746 (2006), no. 3, 155–201.
- Dufour, Jean-Paul ; Wade, Aïssa . Stability of higher order singular points of Poisson manifolds and Lie algebroids. Ann. Inst. Fourier (Grenoble) 56 (2006), no. 3, 545–559.
- Pichereau, Anne . Poisson (co)homology and isolated singularities. J. Algebra 299 (2006), no. 2, 747–777.
- RL Fernandes, Ph Monnier, Linearization of Poisson beackets, Lett. Math. Phys. 69 (2004), 89–114.
- ^ Zung, Nguyen Tien . Proper groupoids and momentum maps: linearization, affinity, and convexity. Ann. Sci. École Norm. Sup. (4) 39 (2006), no. 5, 841–869.
- ^ Miranda, Eva ; Zung, Nguyen Tien . A note on equivariant normal forms of Poisson structures. Math. Res. Lett. 13 (2006), no. 5-6, 1001–1012.
- ^ Monnier, Philippe ; Zung, Nguyen Tien . Normal forms of vector fields on Poisson manifolds. Ann. Math. Blaise Pascal 13 (2006), no. 2, 349–380.
- Symplectic topology of integrable Hamiltonian systems. II. Topological classification. Compositio Math. 138 (2003), no. 2, 125–156.
- А. В. Болсинов, А. В. Борисов, И. С. Мамаев, “Топология и устойчивость интегрируемых систем”, УМН, 65:2(392) (2010), 71–132
- K. Efstathiou, DA Sadovskii, Normalization and global analysis of perturbations of the hydrogen atom, Reviews of Modern Physics (2010).
- Sepe, Daniele . Topological classification of Lagrangian fibrations. J. Geom. Phys. 60 (2010), no. 2, 341–351.
- JJ Duistermaat and A Pelayo,Topology of symplectic actions with symplectic orbits, Revista Mathematica Complutense (2010).
- AV Bolsinov, AA Oshemkov, Bi-Hamiltonian structures and singularities of integrable systems, Regular Chaotic Dynamics, 14 (2009), 431–454.
- Castaño Bernard, Ricardo ; Matessi, Diego . Lagrangian 3-torus fibrations. J. Differential Geom. 81 (2009), no. 3, 483–573.
- O. Lukina , F. Takens, and H. Broer, Global Properties of Integrable Hamiltonian Systems, Regular and Chaotic Dynamics, 2008, Vol. 13, No. 6, pp. 588–630.
- M. Radnovic and V. Rom-Kedar, Foliations of isoenergy surfaces and singularities of curves, Reg. Chaotic. Dynamics, 13 (2008), 645–668.
- Martin Vuk, Algebraic integrability of the confluent Neumann system, J. Phys. A: Math. Theor. 41 (2008), 16pp.
- Vũ Ng\d oc, San . Moment polytopes for symplectic manifolds with monodromy. Adv. Math. 208 (2007), no. 2, 909–934.
- AV Bolsinov and AA Oshemkov, Singularities of integrable Hamiltonian systems. Topological methods in the theory of integrable Hamiltonian systems, 1–67, Cambridge Sci. Publ., 2006.
- M. Kontsevich, Y. Soibelman, Affine structures and non-archimedean analytic spaces, Progress in Mathematics Vol. 244: The Unity of Mathematics, In Honor of the Ninetieth Birthday of I.M. Gelfand (2006), pp 321-385.
- San Vũ Ngoc, Symplectic techniques for semiclassical completely integrable systems. Topological methods in the theory of integrable systems, 241–270, Camb. Sci. Publ., Cambridge, 2006.
- Saralegi-Aranguren, M. ; Volak, R. Basic intersection cohomology of conical fibrations.(Russian) Mat. Zametki 77 (2005), no. 2, 235–257; translation in Math. Notes 77 (2005), no. 1-2, 213–231
- Bursztyn, Henrique ; Weinstein, Alan . Picard groups in Poisson geometry. Mosc. Math. J. 4 (2004), no. 1, 39–66, 310.
- Benvegnù, Alberto ; Sansonetto, Nicola ; Spera, Mauro . Remarks on geometric quantum mechanics. J. Geom. Phys. 51 (2004), no. 2, 229–243.
- M. Symmington, Four dimensions from two in symplectic topology, Proceedings of Symposia in Pure Mathematics, 71 (2003), 153–206.
- Cushman, R. ; Vũ Ngoc San . Sign of the monodromy for Liouville integrable systems. Ann. Henri Poincaré 3 (2002), no. 5, 883–894.
- ^ Nguyen Tien Zung, Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems, Regular Chaotic Dynamics (2007).
- ^ Nguyen Tien Zung, Torus actions and integrable systems. In: Topological methods in the theory of integrable systems, Cambridge Sci. Publ. (2006).
- ^ Nguyen Tien Zung . Actions toriques et groupes d’automorphismes de singularités des systèmes dynamiques intégrables.. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 1015–1020.
- ^ Nguyen Tien Zung . Another note on focus-focus singularities. Lett. Math. Phys. 60 (2002), no. 1, 87–99.
- Convergence versus integrability in Poincaré-Dulac normal form. Math. Res. Lett. 9 (2002), no. 2-3, 217–228.
- Raissy, Jasmin . Torus actions in the normalization problem. J. Geom. Anal. 20 (2010), no. 2, 472–524.
- Guy Casale, Morales-Ramis theorems via Malgrange pseudogroup, Annales de l’Institut Fourier, Vol. 59 (2009), No. 7.
- Ito, Hidekazu . Birkhoff normalization and superintegrability of Hamiltonian systems. Ergodic Theory Dynam. Systems 29 (2009), no. 6, 1853–1880.
- Chiba, Hayato . Extension and unification of singular perturbation methods for ODEs based on the renormalization group method. SIAM J. Appl. Dyn. Syst. 8 (2009), no. 3, 1066–1115.
- Chen, Jian ; Yi, Yingfei ; Zhang, Xiang . First integrals and normal forms for germs of analytic vector fields. J. Differential Equations 245 (2008), no. 5, 1167–1184.
- Yoshino, Masafumi . Analytic non-integrable Hamiltonian systems and irregular singularity. Ann. Mat. Pura Appl. (4) 187 (2008), no. 4, 555–562.
- Yoshino, Masafumi ; Gramchev, Todor . Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks. Ann. Inst. Fourier (Grenoble) 58 (2008), no. 1, 263–297.
- Hochgerner, Simon . Singular cotangent bundle reduction \& spin Calogero-Moser systems. Differential Geom. Appl. 26 (2008), no. 2, 169–192.
- Yoshino, Masafumi . Convergent and divergent solutions of singular partial differential equations with resonance or small denominators. Publ. Res. Inst. Math. Sci. 43 (2007), no. 4, 923–943.
- Kappeler, T. ; Möhr, C. ; Topalov, P. Birkhoff coordinates for KdV on phase spaces of distributions. Selecta Math. (N.S.) 11 (2005), no. 1, 37–98.
- Stolovitch, Laurent . Normalisation holomorphe d’algèbres de type Cartan de champs de vecteurs holomorphes singuliers. Ann. of Math. (2) 161 (2005), no. 2, 589–612.
- Gramchev, Todor ; Walcher, Sebastian . Normal forms of maps: formal and algebraic aspects. Acta Appl. Math. 87 (2005), no. 1-3, 123–146.
- ^ Monnier, Philippe ; Zung, Nguyen Tien . Normal forms of vector fields on Poisson manifolds. Ann. Math. Blaise Pascal 13 (2006), no. 2, 349–380.
- ^ Nguyen Tien Zung, Torus actions and integrable systems. In: Topological methods in the theory of integrable systems, Cambridge Sci. Publ. (2006).
- ^ Nguyen Tien Zung . Symplectic topology of integrable Hamiltonian systems. II. Topological classification. Compositio Math. 138 (2003), no. 2, 125–156.
- ^ Nguyen Tien Zung . Actions toriques et groupes d’automorphismes de singularités des systèmes dynamiques intégrables. C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 1015–1020.
- ^ Zung, Nguyen Tien . Levi decomposition of analytic Poisson structures and Lie algebroids. Topology 42 (2003), no. 6, 1403–1420.
- (With Jean-Paul Dufour) Linearization of Nambu structures, Composition Math. 117 (1999), No. 1, 77-98 .
- N. Nakanishi, Lie 3-algebras with invariant metric, Diff. Geom. Appl., 29 (2011), Supplement 1, S164–S169.
- * Pei-Ming Ho, Ru-Chuen Hou and Yutaka Matsuo, Lie 3-algebra and multiple M2-branes, J. High Energy Physics 06 (2008) 020.
- * CS Chu, PM Ho, Y Matsuo, S Shiba, Truncated Nambu-Poisson brackets and entropy formula for multiple membranes, J. High Energy Physics 08 (2008)
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- (With Ph. Monnier) Normal forms of vector fields on Poisson manifolds. Ann. Math. Blaise Pascal 13 (2006), no. 2, 349–380.
- Khesin, Boris ; Tabachnikov, Serge . Pseudo-Riemannian geodesics and billiards. Adv. Math. 221 (2009), no. 4, 1364–1396.
- Miranda, Eva ; Zung, Nguyen Tien . A note on equivariant normal forms of Poisson structures. Math. Res. Lett. 13 (2006), no. 5-6, 1001–1012.
- (With Tit Bau) Singularities of integrable and near-integrable Hamiltonian systems. J. Nonlinear Sci. 7 (1997), no. 1, 1–7.
- M. Radnovic and V. Rom-Kedar, Foliations of isoenergy surfaces and singularities of curves, Reg. Chaotic. Dynamics, 13 (2008), 645–668.
- ^ Nguyen Tien Zung, A note on corank-one singularities of integrable Hamiltonian systems, Commentarii Math. Helv. 75 (2000), 271–283
- (With Th. Kappeler, P. Topalov, P. Lohrmann) Birkhoff coordinates for the focusing NLS equation. Comm. Math. Phys. 285 (2009), no. 3, 1087–1107.
- Kappeler, T.(CH-ZRCH); Serier, F.(F-ECL-ICJ); Topalov, P.(1-NORE) On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. (English summary) J. Funct. Anal. 256 (2009), no. 7, 2069–2112.
- On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy submanifolds. Topological classification of integrable systems, 229–255, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991.
- ** AV Bolsinov, VV Kozlov, AT Fomenko, The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body, Russian Math. Surveys 50 (1995), 473–501.
- Complexity of integrable Hamiltonian systems on a given three-dimensional iso-energy submanifold. (Russian) Mat. Sb. 183 (1992), no. 4, 87–117; translation in Russian Acad. Sci. Sb. Math. 75 (1993), no. 2, 507–533
- Cordero, Alicia; Martínez Alfaro, José; Vindel, Pura Bott integrable Hamiltonian systems on $S^2\times S^1$. Discrete Contin. Dyn. Syst. 22 (2008), no. 3, 587–604.
- Actions toriques et groupes d’automorphismes de singularités des systèmes dynamiques intégrables. C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 1015–1020.
- ^ Nguyen Tien Zung, Torus actions and integrable systems. Topological methods in the theory of integrable systems, 289–328, Camb. Sci. Publ., Cambridge, 2006.
- (With Eva Miranda) A note on equivariant normal forms of Poisson structures. Math. Res. Lett. 13 (2006), no. 5-6, 1001–1012.
- A. Bouaziz, Sur les distributions covariantes dans les algèbres de Lie réductives, J. Functional Analysis, 257 (2009), Issue 10, 3203-3217.
- (with Lada Polyakova)A topological classification of integrable geodesic flows on the two-dimensional sphere with an additional integral quadratic in the momenta. J. Nonlinear Sci. 3 (1993), no. 1, 85–108.
- ** AV Bolsinov, VV Kozlov, AT Fomenko, The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body, Russian Math. Surveys 50 (1995), 473–501.
- Topological invariants of integrable geodesic flows on a multi-dimensional torus and sphere. (Russian) Trudy Mat. Inst. Steklov. 205 (1994), 73–90; translation in Proc. Steklov Inst. Math. 1995, no. 4 (205), 63–78
- ** A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Mat. Sb., 189:10 (1998), 5–32
- Investigation of generic properties of simple Bott integrals. (Russian) Trudy Sem. Vektor. Tenzor. Anal. No. 24 (1991), 133–140.
- Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems. Regul. Chaotic Dyn. 12 (2007), no. 6, 680–688.
- (With J-P Dufour)Normal forms of Poisson structures. Lectures on Poisson Geometry – Proceedings of ICTP Summer School 2005 (T Ratiu, A Weinstein, NT Zung eds). Geometry & Topology Monographs Vol. 18 (2010).
Monographs that cited my work:
- M. Hamilton, Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves, Memoirs of the AMS, 2010.
- H. Hanssmann, Local and semi-local bifurcations in Hamiltonian systems, Springer, 2007, 237 pages.
- Stefan Waldman, Poisson-geometrie und Deformationsquatisierung, Springer (2007), 612 pages.
- K. Efstathiou, Metamorphoses of Hamiltonian Systems with Symmetries, Lecture Notes in Mathematics, Vol. 1864, Springer, 2005.
- K. Mackenzie, General Theory of Lie Groupoids and Lie Algebroids, Cambridge University Press, 2005.
- Mark Adler, Pierre van Moerbeke, Pol Vanhaecke, Algebraic integrability, Painlevé geometry and Lie algebras, Springer, 2004, 483 pages.
- A.V. Bolsinov, A.T. Fomenko, Integrable Hamiltonian systems. Geometry, topology, classification, Chapman & Hall, 2004, 730 pp.
- J.-P. Ortega, T. Ratiu, Momentum maps and Hamiltonian reduction, Progress in Mathematics, Vol. 222, Birkhauser, 2004.
- T. Kappeler, J. Pöschel, KdV and KAM, Springer, 2003.
- Paul K. Newton, The N-vortex problem, Springer (2001), 415 pages.
- P. Vanhaecke, Integrable systems in the realm of algebraic geometry. Lecture Notes in Mathematics, Vol. 1638, Second Edition, 2001.
- A.V. Bolsinov, A.T. Fomenko, Integrable geodesic flows on two-dimensional surfaces, Kluwer Boston, 2000, 322 pp.
- R. Ghrist, Ph. Holmes, M. Sullivan, Knots and links in three-dimensional flows. Lecture Notes in Mathematics, Vol. 1654, x+208 pp., 1997.
- M. Audin, Spinning tops. A course on integrable systems, Cambridge Studies in Advanced Mathematics, 51, 1996, viii+139 pp.
- A.T. Fomenko, Symplectic geometry, 2nd edition, CRC press (1995), 467 pages.
Some other references that cited my work (they are not in the above lists, because either they are not indexed by MathSciNet and ISI, or they cited my thesis or unpublished notes):
- Eva Miranda, Symmetries and singularities in Hamiltonian systems, Journal of Physics: Conference Series 175 (2009).
- Henk W. Broer, Heinz Hanßmann: Hamiltonian Perturbation Theory (and Transition to Chaos). 4515-4540. Encyclopedia of Complexity and Systems Science, Springer 2009.
- Sebastien Walcher, Perturbative expansions, convergence of. 6760–6771. Encyclopedia of Complexity and Systems Science, Springer 2009.
- X. Zhang, Analytic normalization of analytic integrable systems, Mathematical Models in engineering, biology and medecine, AIP Conference Proceedings, 1124 (2009), 342-348.
- P. Cartier, Groupoides de Lie et leurs algébroides, Séminaire Bourbaki (2008).
- SP Kasperczuk, On algebraic structure of dynamical systems, International Journal of Mathematical Models and Methods in Applied Sciences, 1 (2008), No. 2, 24–32.
- Nabutada Nakanishi, Quadratic Nambu-Poisson structures, Differential Geometry and Applications, Proc. Conf. in honour of Leonhard Euler, Olomouc, Auguts 2007, World Scientific (2008), 329-337.
- Laurent Stolovitch, Normal form of holomorphic dynamical systems, in: Hamiltonian dynamical systems and applications, W. Craig ed., Springer (2008), 249-284.
- Yu. Vorobiev, Averaging of Poisson structures, Geometric methods in Physics, AIP Conference proceedings, 1079 (2008), 235-240.
- OM Dragulete, Some applications of symmetries in geometry and dynamical systems, PhD thesis, EPFL (2007).
- R. Ghrist, On the contact topology and geometry of ideal fluids, Handbook of Mathematical Fluid Dynamics vol. IV (2007), 1-38.
- R. Ghrist, Braids and differential equations, Proceedings ICM 2006.
- H. Bursztyn and A. Weinstein, Poisson geometry and Morita equivalence, in: Poisson geometry, deformation quantization and group representations, S. Gutt et al eds, London Math. Soc., 2005.
- R. Cushman et al., No polar coordinates, in: Geometric Mechanics and Symmetry: The Peyresq Lectures, edited by James Montaldi, Tudor S. Rațiu, London Mathematical Society (2005), pp 211-302.
- A.V. Bolsinov & B. Jovanovic, Integrable geodesic flows on Riemannian manifolds: construction and obstructions, Contemporary Geometry and Related Topics (eds. N. Bokan, M. Djoric, Z. Rakic, A.T. Fomenko, J. Wess), World Scientific (2004), 57-103.
- Henk W. Broer, Quasi-Periodicity in Dissipative and Conservative Systems, Proceedings of the Symposium Henri Poincar ́ (Brussels, 8-9 October 2004)
- J Heinloth, Some notes on differentiable stacks, Mathematics Institute Seminars, Gottingen (Tschinkel ed.) 2004.
- Masafumi Yoshino, WKB analysis and Poincaré for vector fields, Algebraic Analysis of Differential Equations (T. Aoki et al. eds), in Honour of Takahiri Kawai, Springer, 2004, 335-253.
- B Jovanovic, Some multidimensional integrable cases of nonholonomic rigid body dynamics, Regular Chaotic Dynamics (2003).
- O. Vivolo, The mondromy of the Lagrange Top and the Picard-Lefschetz formula, J. Geometry and Physics 46 (2003), 99-124. (cites my thesis)
- B Jovanovic, On the integrability of geodesic flows of submersion metrics, Lett. Math. Phys. (2002).
- R. Ghrist, R. Komendarczyk, Toplological features of inviscid flows, An Introduction to the Geometry and Topology of Fluid Flows, R.L. Ricca ed., NATO ASI Series II Vol. 47, Kluwer, 183-202 (2001).
- B.I. Zhilinskii, Qualitative features of quantum finite particle systems, Proceedings of Andronov memorial conference, Frontiers of Nonlinear Science, Nozhnii Novgorod (2001).
- A.V. Bolsinov, V.S. Matveev, Integrable Hamiltonian systems: topological structure of saturated neighborhoods of nondegenerate singular points, in Tensor and Vector Analysis: geometry, mechanics and physics, ed. by Fomenko, Manturov and Trofimov, CRC Press (1998), 31-56.
- R. Ibáñez, M. de León, J.C. Marrero, D. Martín de Diego, E. Padrón, Some generalizations of Poisson and Jacobi structures, Proceedings of the 1st International Meeting on Geometry and Topology (Braga, 1997), 119–130 (electronic), Cent. Mat. Univ. Minho, Braga, 1998.
- V.S. Matveev, P. Topalov, Dual points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces, Vestnik Moscow Univ. 60-62 (1998).
Citing authors:
- Mark Adler
- RI Aksitov
- A Andrada
- Michèle Audin
- O Babelon
- Amine Bahayou
- ML Barberis
- Larry Bates
- Alberto Benvegnù
- RC Bernard
- PM Bleher
- Anthony Bloch
- AV Bolsinov
- Martin Bordemann
- AV Borisov
- Mohamed Boucetta
- A Bouaziz
- Michel Nguiffo Boyom
- Yu A Brailov
- Thomas Bridge
- Henk W. Broer
- Henrique Bursztyn
- Leo Butler
- R Caboz
- B Campos
- L Cantini
- Pierre Cartier
- Guy Casale
- R. Castaño-Bernard
- Jian Chen
- Hayato Chiba
- Mark Child
- CS Chu
- S Codriansky
- Yves Colin de Verdière
- Alicia Cordero
- Mircea Crasmareanu
- SC Creaghs
- I Cruz
- Carlos Curras-Bosch
- Richard Cushman
- Pantelis Damianou
- Chris Davison
- F De Lucia
- S Dekkaki
- B Doucot
- V Dragovic
- OM Dragulete
- JP Dufour
- JJ Duistermaat
- Holger Dullin
- J Ebert
- K Efstathiou
- John Etnyre
- T Fardilha
- Francesco Fasso
- F Faure
- Yuri N Fedorov
- RL Fernandes
- Sebastian Ferrer
- E Fiorani
- AT Fomenko
- J.A. Foxman
- B Gajic
- Mauricio Garay
- Lubomir Gavrilov
- Robert Ghrist
- Andrea Giacobbe
- J Giansiracusa
- Ryushi Goto
- G Goujvina
- Janus Grabowski
- Todor Gramchev
- Partha Guha
- Susana Gutiérrez-Romero
- Mark Hamilton
- MS Hansen
- Heinz Hanssmann
- J Heinloth
- M Henkel
- Richard Hepworth
- Viktoria Heu
- Pei-Ming Ho
- Simon Hochgerner
- Jun Hoo
- Ru-Chuen Hou
- Ph Holmesez-Romero
- Cristina-Elena Hreţcanu
- R Ibanez
- Hidekazu Ito
- Bozidar Jovanovic
- Marc Joyeux
- VV Kalashnikov
- Thomas Kappeler
- SP Kasperczuk
- J Kharbach
- Boris Khesin
- Rangachari Kidambi
- Ctirad Klimcik
- M Kogan
- R Komendarczyk
- Maxim Kontsevich
- NV Korovina
- Yvette Kosmann-Schwarzbach
- DV Kosygin
- IN Kozin
- VV Kozlov
- BS Kruglikov
- E Kudryavtseva
- Sergey Kuksin
- Camille Laurent-Gengoux
- Sean Lawton
- M de Léon,
- LM Lerman
- Qian Liu
- Zhangju Liu
- Philipp Lohrmann
- OV Lukina
- Andrzej J. Maciejewski
- Kirill Mackenzie
- A Makhlouf
- G Marmo,
- JC Marrero
- M Martin de Diego
- José Martines Alfaro
- D Martinez Torres
- D Matessi
- Yutaka Matsuo
- I Matveev
- VS Matveev
- Harris McClamroch
- Ch. Médan
- Piotr Mikrut
- Eva Miranda
- KN Mishachev
- Pierre van Moerbeke
- Philippe Monnier
- C Mohr
- PV Morozov
- Nabutada Nakanishi
- NN Nekhoroshev
- Paul K. Newton
- Behren Noohi
- JP Ortega
- G Ovando
- M Ouazzani-Jamil
- A Ouazzani-T. H.
- E Padron
- Jesus Palacian
- Gabriel Paternain
- Serge Pelap
- Alvaro Pelayo
- Galina Parelman
- F Petalidou
- T Petit
- Anne Pichereau
- Jurgen Poschel
- Maria Przybylska
- Milena Radnovic
- A. Rainer
- Jasmin Raissy
- Tudor Ratiu
- P Richter
- Bob Rink
- J.M. Robbins
- RM Roberts
- V Rom-Kedar
- S Ross
- Nicolas Roy
- DA Sadovskii
- Nicola Sansonetto
- Amit Sanyal
- M. Saralegi-Aranguren
- G Sardanashvily
- B Schaad
- D Sepe
- F Serier
- MB Sevryuk
- Yunhe Sheng
- S Shiba
- Ya G Sinai
- Ivan Smith
- Y Soibelman
- Mauro Spera
- Laurent Stolovitch
- D Sugny
- M Sullivan
- M Symington
- Serge Tabachnikov
- F Takens
- G Tanner
- P Topalov
- John Toth
- T Trentinaglia
- Ramona Tudoran
- Razvan Tudoran
- Ya L Umanskii
- J Unterberger
- Izu Vaisman
- Pol Vanhaecke
- Pura Vindel
- AM Vinogradov
- MM Vinogradov
- Yuri Vorobjiev
- S Vu Ngoc
- Martin Vuk
- Holger Waalkens
- Aissa Wade
- Sebastian Walcher
- Stefan Waldman
- Alan Weinstein
- B Winnewisser
- M Winnewisser
- Robert Wolak
- Ping Xu
- Patricia Yanguas
- Yingfei Yi
- Masafumi Yoshino
- Xiang Zhang
- BI Zhilinskii
- Mikhail Zhitomirskii

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