Dynamics of the overdamped coupled Josephson junctions with an interference term

DOI10.1007/s00332-009-9040-7zbMath1187.37063OpenAlexW2059958171MaRDI QIDQ836076

Wen-Xin Qin, Zhi-Long Peng

Publication date: 31 August 2009

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-009-9040-7

zbMATH Keywords

monotonicityglobal stabilitycoupled Josephson junctionsaverage-voltageIV characteristicsrunning periodic solutions of \((p,q)\) type

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Statistical mechanics of superconductors (82D55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45) Monotone systems involving ordinary differential equations (34C12) Rotation numbers and vectors (37E45)

Related Items (3)

Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Existence and uniqueness of solutions of a class of third order dissipative problems with various boundary conditions describing the Josephson effect

Cites Work

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• A novel preserved partial order for cooperative networks of units with overdamped second order dynamics, and application to tilted Frenkel–Kontorova chains
• Existence of Travelling Waves in Discrete Sine-Gordon Rings

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