Oscillations near a separatrix in the Duffing equation

DOI10.1134/S0081543813050088zbMath1292.34053MaRDI QIDQ2447026

Yanyan Li

Publication date: 23 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

perturbation theoryoscillationsseparatrix

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Phase change between separatrix crossings
• Slow passage through a saddle-center bifurcation
• Hard Loss of Stability in Painlevé-2 Equation
• Phase change between separatrix crossings in slow–fast Hamiltonian systems
• Separatrix maps in Hamiltonian systems
• An asymptotic solution slowly crossing the separatrix near a saddle centre bifurcation point
• QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS