Excitable and oscillatory dynamics in an in-homogeneous chain of excitable systems with delayed coupling

DOI10.1016/j.chaos.2004.02.017zbMath1082.34065OpenAlexW2068421504MaRDI QIDQ1772614

Nebojša Vasović, Ines Grozdanović, Nikola Buric

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.017

zbMATH Keywords

excitable systemsdelayed couplingFitzHugh-Nagumo

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

• Unnamed Item
• Unnamed Item
• Resonant Hopf-Hopf interactions in delay differential equations
• Foundations of synergetics. I: Distributed active systems.
• Sufficiently general framework for simple models of the net immune response
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Wave-Block in Excitable Media Due to Regions of Depressed Excitability
• Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
• Elements of applied bifurcation theory

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