Bifurcations of periodic orbits in three-well Duffing system with a phase shift

DOI10.1007/S11424-010-8209-3zbMath1268.34074OpenAlexW1991930732MaRDI QIDQ646736

Han Zhang, Ji-Cai Huang

Publication date: 17 November 2011

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-010-8209-3

zbMATH Keywords

periodic orbitsbifurcationssecond-order averagingMelnikov's methodthree-well Duffing system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29)

Related Items (1)

Nonlinear damped oscillators on Riemannian manifolds: fundamentals

Cites Work

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• Bifurcations and chaos in three-well Duffing system with one external forcing
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Detection of bifurcation structures by higher-order averaging for Duffing's equation
• Long time data series and difficulties with the characterization of chaotic attractors: A case with intermittency III
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• SECOND-ORDER AVERAGING AND MELNIKOV ANALYSES FOR FORCED NON-LINEAR OSCILLATORS
• Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
• Second order averaging and bifurcations to subharmonics in duffing's equation
• Homoclinic and heteroclinic chaos in a triple-well oscillator
• BIFURCATIONS OF PERIODIC ORBITS IN A JOSEPHSON EQUATION WITH A PHASE SHIFT
• Chaotic dynamics of Josephson equation driven by constant dc and ac forcings

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