Asymptotic analysis of the model of gyromagnetic autoresonance

DOI10.1134/S0965542516120113zbMath1378.78011OpenAlexW2593736656MaRDI QIDQ2359072

Leonid A. Kalyakin

Publication date: 27 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516120113

zbMATH Keywords

asymptoticssmall parameternonlinear oscillationsautoresonance

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Motion of charged particles (78A35) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (4)

Adiabatic approximation for a model of cyclotron motion ⋮ Capture and keeping of a resonance near equilibrium ⋮ Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients ⋮ Adiabatic approximation in a resonance capture problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave
• Averaging in the autoresonance model
• Handling uncertainty in route choice models: from probabilistic to possibilistic approaches
• Asymptotic analysis of autoresonance models
• Autoresonance excitation of a breather in weak ferromagnetics

This page was built for publication: Asymptotic analysis of the model of gyromagnetic autoresonance