Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice

DOI10.1007/978-3-319-02057-0_12zbMath1326.35327arXiv1306.2489OpenAlexW3105545846MaRDI QIDQ2949360

Yaroslav Zolotaryuk

Publication date: 8 October 2015

Published in: Nonlinear Systems and Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2489

zbMATH Keywords

Hopf bifurcationsine-Gordon latticekink state

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Boundary value problems for linear higher-order PDEs (35G15) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation
• Localised modes on localised equilibria
• Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators

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