Spiral wave chimera states in large populations of coupled chemical oscillators. Issue 3 (March 2018) - Totz, Jan
Abstract The coexistence of coherent and incoherent dynamics in a population of identically coupled oscillators is known as a chimera state1, 2 . Discovered in 20023, this counterintuitive dynamical behaviour has inspired extensive theoretical and experimental activity4–15 . The spiral wave chimera is a particularly remarkable chimera state, in which an ordered spiral wave rotates around a core consisting of asynchronous oscillators. Spiral wave chimeras were theoretically predicted in 200416 and numerically studied in a variety of systems17–23 . Here, we report their experimental verification using large populations of nonlocally coupled Belousov–Zhabotinsky chemical oscillators10, 18 in a two-dimensional array. We characterize previously unreported spatiotemporal dynamics, including erratic motion of the asynchronous spiral core, growth and splitting of the cores, as well as the transition from the chimera state to disordered behaviour. Spiral wave chimeras are likely to occur in other systems with long-range interactions, such as cortical tissues24, cilia carpets25, SQUID metamaterials26 and arrays of optomechanical oscillators9 . A spiral chimera state, composed by an ordered spiral surrounding a core of asynchronous oscillators, is revealed in a large grid of chemical oscillators.