PULSE DYNAMICS IN COUPLED EXCITABLE FIBERS: SOLITON-LIKE COLLISION, PHASE LOCKING, AND RECOMBINATION

DOI10.1142/S0218127408021713zbMath1165.35440arXivnlin/0610071OpenAlexW2005201399MaRDI QIDQ5322543

Kazuyuki Aihara, Hiromichi Suetani, Tatsuo Yanagita

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0610071

zbMATH Keywords

synchronizationexcitable mediapulse dynamicscoupled reaction-diffusion systemsFitzHugh--Nagumo equationsoliton-like collision

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Soliton equations (35Q51) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Related Items (1)

Projective synchronization of two coupled excitable spiral waves

Cites Work

• The drift of a vortex in an inhomogeneous system of two coupled fibers
• Pulse evolution on coupled nerve fibres
• Initiation and stability of reentry in two coupled excitable fibers
• Mathematical physiology
• Conduction in bundles of demyelinated nerve fibers: computer simulation
• Pattern formation in coupled reaction-diffusion systems
• Collision of Propagating Pulses in a Reaction-Diffusion System
• Frequency Dependent Decoupling of Parallel Excitable Fibres
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Symmetric and Antisymmetric Pulses in Parallel Coupled Nerve Fibres
• Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system
• Ephaptic coupling of myelinated nerve fibers

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