Scroll ring chimera states in oscillatory networks

TL;DR

This paper introduces scroll ring and toroid chimera states in 3D oscillatory networks with inertia, revealing diverse patterns and coexistence with solitary states, advancing understanding of complex spatiotemporal dynamics.

Contribution

It demonstrates the emergence of scroll ring and toroid chimera states in a 3D Kuramoto model with inertia using novel initial conditions, showing their properties and coexistence with solitary states.

Findings

Multiple scroll ring and toroid chimeras can be generated with different sizes.

Coexistence of chimera states with solitary states and patterns.

Patterns include coherent, partially coherent, and incoherent structures.

Abstract

We report the appearance of a scroll ring and scroll toroid chimera states from the proposed initial conditions for the Kuramoto model of coupled phase oscillators in the 3D grid topology with inertia. The proposed initial conditions provide an opportunity to obtain as single as well as multiple scroll ring and toroid chimeras with different major and minor diameters. We analyze their properties and demonstrate, in particular, the patterns of coherent, partially coherent, and incoherent scroll ring chimera states with different structures of filaments and chaotic oscillators. Those patterns can coexist with solitary states and solitary patterns in the oscillatory networks.