Diverse chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators

For the study of symmetry-breaking phenomena in neuronal networks, simplified versions of the FitzHugh-Nagumo model are widely used. In this paper, these phenomena are investigated in a network of FitzHugh-Nagumo oscillators taken in the form of the original model and it is found that it exhibits diverse partial synchronization patterns that are unobserved in the networks with simplified models. Apart from the classical chimera, we report a new type of chimera pattern whose incoherent clusters are characterized by spatial random swings among a few fixed periodic attractors. Another peculiar hybrid state is found that combines the features of this chimera state and a solitary state such that the main coherent cluster is interspersed with some nodes with identical solitary dynamics. In addition, oscillation death including chimera death emerges in this network. A reduced model of the network is derived to study oscillation death, which helps explaining the transition from spatial chaos to oscillation death via the chimera state with a solitary state. This study deepens our understanding of chimera patterns in neuronal networks.

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“…However, the number of clusters does not increase systematically following a clear bifurcation scenario as in Refs. [8,51,52].…”

Section: Network Behavior: Characterization Tools and Numerical Simul...mentioning

confidence: 99%

“…In order to explain the occurrence of oscillation death in networks of Stuart-Landau oscillators, the behavior of reduced models was analyzed in Refs. [51][52][53]. Here we perform a similar analysis for the FitzHugh-Nagumo system.…”

Section: Bifurcation Analysis Of Oscillation Death and Solitary State...mentioning

confidence: 99%