Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems

TL;DR

This study investigates how periodic Gaussian pulses affect chimera states in coupled FitzHugh-Nagumo systems, revealing various novel chimera behaviors and comparing effects with harmonic influences.

Contribution

It introduces the impact of pulse exposure on chimera states and identifies new chimera modes not typical in standard parameter ranges.

Findings

Identification of new chimera modes such as breathing and traveling chimera.

Observation of chimera variations induced by pulse influence.

Comparison of pulse effects with harmonic influences on chimera states.

Abstract

In this article we consider the influence of a periodic sequence of Gaussian pulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We found that on the way to complete spatial synchronization one can observe a number of variations of chimera states that are not typical for the parameter range under consideration. For example, the following modes were found: breathing chimera, chimera with intermittency in the incoherent part, traveling chimera with strong intermittency, and others. For comparison, here we also consider the impact of a harmonic influence on the same chimera, and to preserve the generality of the conclusions, we compare the regimes caused by both a purely positive harmonic influence and a positive-negative one.