Autoresonance versus localization in weakly coupled oscillators

DOI10.1016/j.physd.2016.01.001zbMath1364.34048OpenAlexW2240076842MaRDI QIDQ2357501

Agnessa Kovaleva, Leonid I. Manevitch

Publication date: 13 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.physd.2016.01.001

zbMATH Keywords

nonlinear oscillationsasymptotic methodsautoresonance

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Stabilization of a cycle in a coupled mechanical system ⋮ Transient dynamics in strongly nonlinear systems: optimization of initial conditions on the resonant manifold ⋮ Stabilizing oscillations of coupled conservative systems ⋮ Energy transfer in autoresonant Klein-Gordon chains ⋮ Rapid non-resonant intermodal targeted energy transfer (IMTET) caused by vibro-impact nonlinearity ⋮ Escape dynamics of a forced‐damped classical particle in an infinite‐range potential well ⋮ Stabilization of oscillations in a periodic system by choosing appropriate couplings ⋮ Control of autoresonance in mechanical and physical models ⋮ Periodic model containing coupled subsystems with different types of oscillations ⋮ Basic mechanisms of escape of a harmonically forced classical particle from a potential well ⋮ Dynamics of a hybrid cubic vibro-impact oscillator and nonlinear energy sink

Cites Work

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