Traveling chimera patterns in a two-dimensional neuronal network

We study the emergence of traveling chimera state in a two-dimensional network Hindmarsh-Rose burst neurons with mutual presence local and non-local couplings. show that unique chemical coupling modeled by nonlinear function, phenomenon occurs displacement both directions plane grid. The introduction electrical shows influence two types can, for certain values, generate chimera, imperfect-traveling, multi-clusters, alternating ie under study, patterns coherent elements interspersed other incoherent movement alternately changing their position over time. confirmation states coherence is done introducing parameter instantaneous order dimensions. extend our analysis through mathematical tools such as Hamilton energy function to determine direction propagation