Bifurcations and chaos in Duffing equation with damping and external excitations

DOI10.1007/s10255-014-0284-0zbMath1301.34048OpenAlexW2112746699MaRDI QIDQ403533

Jin Deng, Mei-xiang Cai, Jian-Ping Yang

Publication date: 29 August 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-014-0284-0

zbMATH Keywords

chaosDuffing equationMelnikov methodsecond-order averaging method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

Effects of random excitations on the dynamical response of Duffing systems ⋮ Bifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External Forcing ⋮ Complex Dynamics in a Love-Triangle Model with Single-Frequency and Multiple-Frequency External Forcing

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