A KAM theorem for quasi-periodic non-twist mappings and its application

DOI10.3934/dcds.2022013zbMath1498.37099OpenAlexW4213136148MaRDI QIDQ2144286

Zhichao Ma, Junxiang Xu

Publication date: 1 June 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2022013

zbMATH Keywords

invariant curvesLagrange stabilityKAM iterationnon-twist mapping

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40)

Related Items (3)

Stability of a nonlinear fractional Langevin system with nonsingular exponential kernel and delay control ⋮ Boundedness of semilinear Duffing equations with Liouvillean frequency ⋮ Three examples in the dynamical systems theory

Cites Work

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• Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
• Invariant curves of quasi-periodic reversible mappings
• Asymmetric Oscillators and Twist Mappings
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