Studies of 1D and 2D Chimera States in Populations of Coupled Chemical Oscillators

ORAL · Invited

Abstract

We have studied chimera and chimera-like states in populations of photochemically coupled Belousov-Zhabotinsky (BZ) oscillators. Simple chimeras and chimera states with multiple and traveling phase clusters, phase-slip behavior, and chimera-like states with phase waves are described. Simulations with a realistic model of the discrete BZ system of populations of homogeneous and heterogeneous oscillators are compared with each other and with experimental behavior. Spiral wave chimeras as well as chimera core instabilities are studied in large arrays of photochemically coupled oscillators.

References: M. R. Tinsley et al., Nature Physics 8, 662 (2012); S. Nkomo et al., Phys. Rev. Lett. 110, 244102 (2013); S. Nkomo et al., Chaos 26, 094826 (2016); J. F. Totz et al., Nature Physics 14, 282 (2018).

Presenters

  • Kenneth Showalter

    West Virginia University

Authors

  • Kenneth Showalter

    West Virginia University