Persistence of hyperbolic invariant tori for Hamiltonian systems

DOI10.1006/jdeq.2000.3762zbMath0959.37046OpenAlexW2088608920MaRDI QIDQ1581861

Qingdao Huang, Fuzhong Cong, Yong Li

Publication date: 21 November 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3762

zbMATH Keywords

KAM iterationhyperbolic invariant torimeasure estimate

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (4)

Persistence of degenerate hyperbolic lower-dimensional invariant tori in Hamiltonian systems with Bruno’s conditions ⋮ Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems ⋮ Existence of 3-dimensional tori for 1D complex Ginzburg-Landau equation via a degenerate KAM theorem ⋮ Persistence of lower-dimensional hyperbolic invariant tori for generalized Hamiltonian systems

Cites Work

• On elliptic lower dimensional tori in Hamiltonian systems
• Existence of higher dimensional invariant tori for Hamiltonian systems
• Invariant tori of Hamiltonian systems that are nondegenerate in Rüssmann's sense
• Invariant tori for nearly integrable Hamiltonian systems with degeneracy
• Invariant hyperbolic tori for Hamiltonian systems with degeneracy
• Convergent series expansions for quasi-periodic motions
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• Generalized implicit function theorems with applications to some small divisor problems, II
• On the Theory of Quasiperiodic Motions
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