Controlling Chimera States - The influence of excitable units

Abstract

We explore the influence of a block of excitable units on the existence and behavior of chimera states in a nonlocally coupled ring-network of FitzHugh-Nagumo elements. The FitzHugh-Nagumo system, a paradigmatic model in many fields from neuroscience to chemical pattern formation and nonlinear electronics, exhibits oscillatory or excitable behavior depending on the values of its parameters. Until now, chimera states have been studied in networks of coupled oscillatory FitzHugh-Nagumo elements. In the present work, we find that introducing a block of excitable units into the network may lead to several interesting effects. It allows for controlling the position of a chimera state as well as for generating a chimera state directly from the synchronous state.

11 pages, 10 Figures

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Cited by in corpus (14)

• Coherence-resonance chimeras in a network of excitable elements
• Chimera states: Effects of different coupling topologies
• Chimera patterns in two-dimensional networks of coupled neurons
• Robust chimera states in SQUID metamaterials with local interactions
• Chimeras in Leaky Integrate-and-Fire Neural Networks: Effects of Reflecting Connectivities
• Small Chimera States without Multistability in a Globally Delay-Coupled Network of Four Lasers
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Topological synchronization of coupled nonlinear oscillators
• Chimera states and synchronization in magnetically driven SQUID metamaterials
• Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons
• Engineering chimera patterns in networks using heterogeneous delays
• Controlled Generation of Chimera States in SQUID Metasurfaces using DC Flux Gradients
• Taming Chimeras in Networks through Multiplexing Delays
• Chimera states in a network-organized public goods game with destructive agents