\(C^1\)-continuation of periodic orbits from homoclinics

DOI10.2140/pjm.2022.317.67zbMath1501.37062OpenAlexW4283162222MaRDI QIDQ2148925

Min Zhou, Chong-Qing Cheng

Publication date: 24 June 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2022.317.67

zbMATH Keywords

Arnold diffusionnormally hyperbolic invariant cylinder

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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