Limit and uniqueness of discrete rotating waves in large arrays of Josephson junctions

DOI10.1088/0951-7715/7/3/005zbMath0803.34026OpenAlexW1966046448MaRDI QIDQ4299198

Ying Sue Huang, D. G. Aronson

Publication date: 10 January 1995

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/3/005

zbMATH Keywords

Josephson junctionswaveformdiscrete rotating wave solutionssplay phase solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Asymptotic properties of solutions to ordinary differential equations (34D05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Single waveform solutions for linear arrays of Josephson junctions ⋮ Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Discrete rotating waves in a ring of coupled mechanical oscillators with strong damping ⋮ Traveling waves in lattice dynamical systems ⋮ Communication performance of \(d\)-meshes in molecular dynamics simulation ⋮ Periodic travelling waves on damped 2D lattices with oscillating external forces ^*

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