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arXiv · 2204.00385

Solitary routes to chimera states

Leonhard Schülen·Alexander Gerdes·Matthias Wolfrum·Anna Zakharova
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Abstract

We show how solitary states in a system of globally coupled FitzHugh-Nagumo oscillators can lead to the emergence of chimera states. By a numerical bifurcation analysis of a suitable reduced system in the thermodynamic limit we demonstrate how solitary states, after emerging from the synchronous state, become chaotic in a period-doubling cascade. Subsequently, states with a single chaotic oscillator give rise to states with an increasing number of incoherent chaotic oscillators. In large systems, these chimera states show extensive chaos. We demonstrate the coexistence of many of such chaotic attractors with different Lyapunov dimensions, due to different numbers of incoherent oscillators.

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Leonhard Schülen, Alexander Gerdes, Matthias Wolfrum, Anna Zakharova. 2022-04-01. Solitary routes to chimera states. https://doi.org/10.1103/physreve.106.l042203

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