Fast–Slow Dynamics Analysis of a Coupled Duffing System with Periodic Excitation

DOI10.1142/S0218127418501481zbMath1404.34043OpenAlexW2901189764WikidataQ128918880 ScholiaQ128918880MaRDI QIDQ4560146

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Publication date: 5 December 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418501481

zbMATH Keywords

bifurcationnonlinear oscillatorperiodic excitationfast-slow analysis method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Discrete version of topics in analysis (39A12)

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Cites Work

• Dynamical analysis of bursting oscillations in the Chay-Keizer model with three time scales
• Bifurcations and fast-slow behaviors in a hyperchaotic dynamical system
• On controllability of second order nonlinear impulsive differential systems
• The spreading residue harmonic balance method for strongly nonlinear vibrations of a restrained cantilever beam
• Study on a Multi-Frequency Homotopy Analysis Method for Period-Doubling Solutions of Nonlinear Systems

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