Exponential dispersion relation and its effects on unstable propagating pulses in unidirectionally coupled symmetric bistable elements

DOI10.1016/j.cnsns.2011.11.002zbMath1243.78020OpenAlexW1981596595MaRDI QIDQ434826

Yo Horikawa

Publication date: 16 July 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.11.002

zbMATH Keywords

dispersion relationpulse propagationcoupled bistable systemexponential transientnoise-sustained propagation

Mathematics Subject Classification ID

Waves and radiation in optics and electromagnetic theory (78A40)

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Floquet multipliers of a metastable rotating wave in a Chua-Yang ring network ⋮ Metastable and chaotic transient rotating waves in a ring of unidirectionally coupled bistable Lorenz systems ⋮ Quasiperiodicity and Chaos Through Hopf–Hopf Bifurcation in Minimal Ring Neural Oscillators Due to a Single Shortcut ⋮ Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons

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• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
• Desynchronization Transitions in Rings of Coupled Chaotic Oscillators
• Synchronization in chaotic systems

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