Existence, Uniqueness, and Nonuniqueness of Single-Wave-Form Solutions to Josephson Junction Systems
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Publication:4507246
DOI10.1137/S003613999834385XzbMath0958.34034MaRDI QIDQ4507246
Publication date: 18 October 2000
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Statistical mechanics of superconductors (82D55) Fourier series and coefficients in several variables (42B05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Dynamics of the overdamped coupled Josephson junctions with an interference term ⋮ Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices ⋮ Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Traveling waves in the underdamped Frenkel-Kontorova model ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Periodic travelling wave solutions of discrete nonlinear Schrödinger equations ⋮ Discrete rotating waves in a ring of coupled mechanical oscillators with strong damping ⋮ Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials ⋮ Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach
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