Chimera dynamics in an array of coupled FitzHugh-Nagumo system with shift of close neighbors

Abstract

In this paper, we consider an array of FitzHugh-Nagumo (FHN) systems with 𝑅 close neighbors. Each element (𝑗) connects to another (𝑚) and its 2𝑅 neighbors. Shifting these neighbors produces particular phenomena such as chimera and multi-chimera. Step traveling chimera is observed for a time dependent shift. Results show that, basing oneself on both shift parameter 𝑚 and close neighbors 𝑅, a full control on the chimera dynamics of the network can be ensured.