Heteroclinic orbits and chaotic regions for Josephson system

DOI10.1016/J.JMAA.2010.11.050zbMath1242.34082OpenAlexW2041384011MaRDI QIDQ624560

Peng-cheng Xu, Zhu-jun Jing

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.050

zbMATH Keywords

chaosheteroclinic orbitMelnikov methodJosephson equation

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Volterra series approximation for rational nonlinear system ⋮ Bifurcations of periodic solutions and chaos in Josephson system with parametric excitation

Cites Work

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• Complex dynamics in Josephson system with two external forcing terms
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Josephson-junction circuit analysis via integral manifolds-Part II
• Application of Qualitative Methods of Differential Equations to Study Phase-Locked Loops
• 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
• Bifurcations of periodic solutions and chaos in Josephson system
• Chaotic dynamics of Josephson equation driven by constant dc and ac forcings

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