Bifurcations of periodic solutions and chaos in Josephson system with parametric excitation

DOI10.1007/S10255-014-0447-ZzbMath1343.34097OpenAlexW1446976702MaRDI QIDQ2355350

Shaoliang Yuan, Zhu-jun Jing

Publication date: 22 July 2015

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

Full work available at URL: https://doi.org/10.1007/s10255-014-0447-z

zbMATH Keywords

chaosbifurcationsMelnikov methodsecond-order averaging methodJosephson system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Cites Work

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• Chaotic Behavior in the Josephson Equations with Periodic Force
• Dynamics of the forced Josephson junction circuit: The regions of chaos
• BIFURCATIONS OF PERIODIC ORBITS IN A JOSEPHSON EQUATION WITH A PHASE SHIFT
• Averaging methods in nonlinear dynamical systems
• Bifurcations of periodic solutions and chaos in Josephson system

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