Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio
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Publication:892755
DOI10.1134/S1560354714060057zbMath1343.37050arXiv1409.4944OpenAlexW3098384187MaRDI QIDQ892755
Pere Gutiérrez, Marina Gonchenko, Amadeu Delshams
Publication date: 12 November 2015
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.4944
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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Chaos control for the plates subjected to subsonic flow ⋮ Stationary phase methods and the splitting of separatrices ⋮ Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies ⋮ Splitting of the separatrices after a Hamiltonian–Hopf bifurcation under periodic forcing ⋮ On the ``hidden harmonics associated to best approximants due to quasi-periodicity in splitting phenomena ⋮ Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio
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