Excitable Dynamics in the Presence of Time Delay

Details Excitable Dynamics in the Presence of Time Delay Excitable Dynamics in the Presence of Time Delay

2006-03-24

arxiv.org/abs/nlin/0603052v1

Physics Letters A 359 (2006) 285-289

Nonlinear Sciences

Chaotic Dynamics

10 pages including 7 figures

Scientific paper

10.1016/j.physleta.2006.06.048

The spiking properties of a subcritical Hopf oscillator with a time delayed nonlinear feedback is investigated. Finite time delay is found to significantly affect both the statistics and the fine structure of the spiking behavior. These dynamical changes are explained in terms of the fundamental modifications occurring in the bifurcation scenario of the system. Our mathematical model can find useful applications in understanding the dynamical behaviour of various real life excitable systems where propagation delay effects are ubiquitous.

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