A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems

Guido Gentile

doi:10.1515/form.1995.7.709

A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems

Forum Mathematicum ◽

10.1515/form.1995.7.709 ◽

1995 ◽

Vol 7 (7) ◽

Cited By ~ 7

Author(s):

Guido Gentile

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Whiskered Tori

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Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)00173-5 ◽

1998 ◽

Vol 114 (1-2) ◽

pp. 3-80 ◽

Cited By ~ 16

Author(s):

Michael Rudnev ◽

Stephen Wiggins

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Homoclinic Connections ◽

Whiskered Tori ◽

Exponentially Small

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Erratum to “Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems” [Physica D 114 (1998) 3–80]

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(00)00115-9 ◽

2000 ◽

Vol 145 (3-4) ◽

pp. 349-354 ◽

Cited By ~ 1

Author(s):

Michael Rudnev ◽

Stephen Wiggins

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Homoclinic Connections ◽

Whiskered Tori ◽

Exponentially Small

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Finite-dimensional Liouville integrable Hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.09.016 ◽

2018 ◽

Vol 57 ◽

pp. 125-135

Author(s):

Solomon Manukure

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Lax Pairs ◽

Finite Dimensional ◽

Soliton Hierarchy ◽

Symmetry Constraints ◽

Liouville Integrable

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Transverse Foliations to Nonsingular Morse–Smale Flows on the 3-Sphere and Bott-Integrable Hamiltonian Systems

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-008-0023-0 ◽

2008 ◽

Vol 7 (2) ◽

pp. 411-415

Author(s):

Michael C. Sullivan

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Smale Flows

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Three integrable Hamiltonian systems connected with isospectral deformations

Advances in Mathematics ◽

10.1016/0001-8708(75)90151-6 ◽

1975 ◽

Vol 16 (2) ◽

pp. 197-220 ◽

Cited By ~ 700

Author(s):

J Moser

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems

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Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(94)00022-0 ◽

1994 ◽

Vol 37 (4-5) ◽

pp. 323-339 ◽

Cited By ~ 1

Author(s):

M.Gregory Forest ◽

Christopher G. Goedde ◽

Amarendra Sinha

Keyword(s):

Hamiltonian Systems ◽

Energy Transport ◽

Integrable Hamiltonian Systems

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Two-Photon Algebra and Integrable Hamiltonian Systems

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2001.8.s.4 ◽

2001 ◽

Vol 8 (sup1) ◽

pp. 18-22 ◽

Cited By ~ 3

Author(s):

Angel Ballesteros ◽

Francisco J Herranz

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Two Photon

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Integrable Hamiltonian Systems and Poisson Actions with Simple Singular Points

Hamiltonian Mechanics - NATO ASI Series ◽

10.1007/978-1-4899-0964-0_40 ◽

1994 ◽

pp. 377-384

Author(s):

Lev M. Lerman ◽

Yan L. Umanskii

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems ◽

Poisson Actions

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Poincaré–Treshchev Mechanism in Multi-scale, Nearly Integrable Hamiltonian Systems

Journal of Nonlinear Science ◽

10.1007/s00332-017-9410-5 ◽

2017 ◽

Vol 28 (1) ◽

pp. 337-369 ◽

Cited By ~ 6

Author(s):

Lu Xu ◽

Yong Li ◽

Yingfei Yi

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Multi Scale ◽

Nearly Integrable Hamiltonian Systems

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Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Physics Letters A ◽

10.1016/s0375-9601(02)00956-8 ◽

2002 ◽

Vol 301 (1-2) ◽

pp. 53-57 ◽

Cited By ~ 6

Author(s):

G. Giachetta ◽

L. Mangiarotti ◽

G. Sardanashvily

Keyword(s):

Hamiltonian Systems ◽

Geometric Quantization ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

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