Autoresonance in weakly dissipative Klein-Gordon chains

DOI10.1016/j.physd.2019.132284zbMath1453.34053OpenAlexW2989906650MaRDI QIDQ2222763

Agnessa Kovaleva

Publication date: 27 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.physd.2019.132284

zbMATH Keywords

nonlinear oscillationsasymptotic methodscapture into resonance

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Ordinary lattice differential equations (34A33)

Related Items (3)

Damped Perturbations of Systems with Center-Saddle Bifurcation ⋮ Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation ⋮ Autoresonance in oscillating systems with combined excitation and weak dissipation

Cites Work

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• Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance
• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Energy transfer in autoresonant Klein-Gordon chains
• Response enhancement in an oscillator chain
• Resonant control of solitons
• A second fundamental model for resonance

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