The capture of a particle into resonance at potential hole with dissipative perturbation

DOI10.1016/j.chaos.2013.11.003zbMath1348.34105OpenAlexW1987120860MaRDI QIDQ336211

Nikolai N. Tarkhanov, Oleg M. Kiselev

Publication date: 10 November 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-64725

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

Asymptotic behaviour of measure for captured trajectories into parametric autoresonance ⋮ On phase at a resonance in slow-fast Hamiltonian systems ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping

Uses Software

• Maxima

Cites Work

• 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
• Phase change between separatrix crossings in slow–fast Hamiltonian systems
• Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems
• Asymptotic solutions of nonlinear second order differential equations with variable coefficients
• Separatrix maps in Hamiltonian systems
• The Modulated Phase Shift for Strongly Nonlinear, Slowly Varying, and Weakly Damped Oscillators
• Nonlinear Transition Layers-The Second Painleve Transcendent
• Connection across a Separatrix with Dissipation
• Slow Passage through a Homoclinic Orbit with Subharmonic Resonances
• An asymptotic solution slowly crossing the separatrix near a saddle centre bifurcation point
• Scattering of trajectories at a separatrix under autoresonance
• A perturbation method for nonlinear dispersive wave problems
• QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
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