Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation

DOI10.1088/0951-7715/25/5/1367zbMath1248.34054arXiv1107.6042OpenAlexW2094525756MaRDI QIDQ2888614

Marcel Guardia, Teresa M. Seara

Publication date: 1 June 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.6042

zbMATH Keywords

Melnikov functionpendulum equationsplitting of separatricesfast periodic and quasiperiodic meromorphic perturbationsHamiltonian one degree of freedom systems

Mathematics Subject Classification ID

Related Items (6)

Stationary phase methods and the splitting of separatrices ⋮ Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio ⋮ 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 Asymptotic Formulas for the Length Spectrum in Some Billiard Tables ⋮ Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio

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