Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology

TL;DR

This paper explores how noise, time-delay, and network topology influence coherence resonance in FitzHugh-Nagumo networks, revealing control mechanisms and effects of coupling configurations on resonance strength.

Contribution

It provides a systematic numerical analysis of coherence resonance modulation by delay and topology in FitzHugh-Nagumo networks, highlighting control strategies.

Findings

Delay-induced dynamics are topology-independent in deterministic case.

Noise and delay can be tuned to enhance or weaken coherence resonance.

Nonlocal coupling with specific delays can optimize resonance effects.

Abstract

We systematically investigate the phenomena of coherence resonance in time-delay coupled networks of FitzHugh-Nagumo elements in the excitable regime. Using numerical simulations, we examine the interplay of noise, time-delayed coupling and network topology in the generation of coherence resonance. In the deterministic case, we show that the delay-induced dynamics is independent of the number of nearest neighbors and the system size. In the presence of noise, we demonstrate the possibility of controlling coherence resonance by varying the time-delay and the number of nearest neighbors. For a locally coupled ring, we show that the time-delay weakens coherence resonance. For nonlocal coupling with appropriate time-delays, both enhancement and weakening of coherence resonance are possible.