Persistence of Floquet invariant tori for a class of non-conservative dynamical systems

DOI10.1090/S0002-9939-06-08529-7zbMath1189.37066OpenAlexW1635193204MaRDI QIDQ3420053

Junxiang Xu

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08529-7

zbMATH Keywords

invariant toriKAM iterationsmall divisor condition

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Stability of solutions to ordinary differential equations (34D20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point ⋮ Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation ⋮ On small perturbation of four-dimensional quasi-periodic system with degenerate equilibrium point

Cites Work

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• Convergent series expansions for quasi-periodic motions
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• Normal Form of Reversible Systems and Persistence of Lower Dimensional Tori under Weaker Nonresonance Conditions
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Invariant tori for non conservative perturbations of integrable systems
• On lower dimensional invariant tori in reversible systems

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