Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies
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Publication:407383
DOI10.3934/ERA.2014.21.41zbMath1333.37086arXiv1306.0728OpenAlexW2012027535MaRDI QIDQ407383
Amadeu Delshams, Pere Gutiérrez, Marina Gonchenko
Publication date: 1 September 2014
Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.0728
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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Quasiperiodic perturbations of heteroclinic attractor networks ⋮ Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio ⋮ Some questions looking for answers in dynamical systems ⋮ 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 ⋮ Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio
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