Phase chimera states on non-local hyperrings

Abstract

Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to study chimera states in systems of identical oscillators, non-locally coupled through pairwise interactions. Nevertheless, there is an increasing evidence, also supported by available data, that complex systems are composed by multiple units experiencing many-body interactions, that can be modeled by using higher-order structures beyond the paradigm of classic pairwise networks. In this work we investigate whether phase chimera states appear in this framework, by focusing on a novel topology solely involving many-body, non-local and non-regular interactions, hereby named non-local d-hyperring, being (d+1) the order of the interactions. We present the theory by using the paradigmatic Stuart-Landau oscillators as node dynamics, and show that phase chimera states emerge in a variety of structures and with different coupling functions. For comparison, we show that, when higher-order interactions are "flattened" to pairwise ones, the chimera behavior is weaker and more elusive.

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Cited by in corpus (11)

• Collective dynamics on higher-order networks
• Bifurcations in the Kuramoto model with external forcing and higher-order interactions
• Third order interactions shift the critical coupling in multidimensional Kuramoto models
• Theory of phase reduction from hypergraphs to simplicial complexes: a general route to higher-order Kuramoto models
• Exact solutions of the Kuramoto model with asymmetric higher order interactions of arbitrary order
• Pinning control of chimera states in systems with higher-order interactions
• Impact of directionality on the emergence of Turing patterns on m-directed higher-order structures
• Moderate Higher-Order Interactions Enhance Stability While Preserving Basin Structure
• Network stochastic resonance under higher-order interactions
• Phase chimera states: frozen patterns of disorder
• On the efficiency of pairwise Hamiltonian control to desynchronize the higher-order Kuramoto model