Chaotic layer of a nonlinear resonance driven by quasiperiodic perturbation.

DOI10.1016/S0167-2789(98)00218-8zbMath1072.70014MaRDI QIDQ1410922

V. V. Vecheslavov

Publication date: 15 October 2003

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

low-frequency secondary harmonicsmultifrequency perturbationseparatrix mapping

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map ⋮ Approach for maximizing chaotic mixing in microfluidic devices ⋮ The experimental localization of Aubry–Mather sets using regularization techniques inspired by viscosity theory ⋮ Effect of dynamical traps on chaotic transport in a meandering jet flow

Cites Work

• Regular and chaotic dynamics.
• A refined formula for the separatrix splitting for the standard map
• Reference systems for splitting of separatrices

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