Solitary routes to chimera states

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.

4 pages, 4 figures

References in corpus (5)

• Clustering as a prerequisite for chimera states in globally coupled systems
• Unbalanced clustering and solitary states in coupled excitable systems
• Solitary states in multiplex neural networks: onset and vulnerability
• Solitary states in the mean-field limit
• 2-Cluster Fixed-Point Analysis of Mean-Coupled Stuart-Landau Oscillators in the Center Manifold

Cited by in corpus (1)

• Solitary states in complex networks: impact of topology