Exponentially small splitting for whiskered tori in Hamiltonian systems: Flow-box coordinates and upper bounds

DOI10.3934/dcds.2004.11.785zbMath1067.70016OpenAlexW2116413039MaRDI QIDQ1766139

Amadeu Delshams, Pere Gutiérrez, Teresa M. Seara

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.3934/dcds.2004.11.785

zbMATH Keywords

KAM theoryseparatricesPoincaré-Melnikov methodstraightening theorem

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (7)

Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum ⋮ Exponentially small splitting for the pendulum: A classical problem revisited ⋮ 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 ⋮ Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results ⋮ Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio ⋮ An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum

This page was built for publication: Exponentially small splitting for whiskered tori in Hamiltonian systems: Flow-box coordinates and upper bounds