Weakly hyperbolic invariant tori for two dimensional quasiperiodically forced maps in a degenerate case

DOI10.3934/dcds.2016086zbMath1376.37108OpenAlexW2512190972MaRDI QIDQ325276

Àngel Jorba, Ting-Ting Zhang, Jian-guo Si

Publication date: 18 October 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016086

zbMATH Keywords

KAM iterationquasiperiodic systemdegenerate fixed pointweakly hyperbolic invariant torus

Mathematics Subject Classification ID

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

Related Items

Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems ⋮ Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems ⋮ Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps ⋮ Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations

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