Obstruction argument for transition chains of tori interspersed with gaps

DOI10.3934/dcdss.2009.2.393zbMath1175.37063OpenAlexW2029340665MaRDI QIDQ733827

Marian Gidea, Clark Robinson

Publication date: 19 October 2009

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

Full work available at URL: https://semanticscholar.org/paper/9470e0c1969fa5de89d1541bb5a590339f864f5c

zbMATH Keywords

Arnold diffusionshadowingcorrectly aligned windows

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Index theory for dynamical systems, Morse-Conley indices (37B30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (5)

Arnold diffusion in a priori chaotic symplectic maps ⋮ Large normally hyperbolic cylinders in a priori stable Hamiltonian systems ⋮ Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders ⋮ Arnold diffusion in a neighborhood of strong resonances ⋮ Diffusing orbits along chains of cylinders

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