Scattering of trajectories at a separatrix under autoresonance

DOI10.1063/1.4875105zbMath1305.34148OpenAlexW2060339861MaRDI QIDQ5171415

Nikolai N. Tarkhanov, Oleg M. Kiselev

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4875105

zbMATH Keywords

separatrixautoresonancescattering of trajectoriesprimary resonance equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Asymptotic behaviour of measure for captured trajectories into parametric autoresonance ⋮ The capture of a particle into resonance at potential hole with dissipative perturbation ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping

Cites Work

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• The capture into parametric autoresonance
• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Phase change between separatrix crossings
• Hard Loss of Stability in Painlevé-2 Equation
• Asymptotic solutions of nonlinear second order differential equations with variable coefficients
• Asymptotic analysis of autoresonance models
• The Modulated Phase Shift for Strongly Nonlinear, Slowly Varying, and Weakly Damped Oscillators
• Nonlinear Transition Layers-The Second Painleve Transcendent
• An asymptotic solution slowly crossing the separatrix near a saddle centre bifurcation point