title: Self-emerging and turbulent chimeras in oscillator chains.
abstract: We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e., a state with coexisting regions of complete and partial synchrony, emerges via a supercritical bifurcation from a homogeneous state. We develop a theory of chimera based on the Ott-Antonsen equations for the local complex order parameter. Applying a numerical linear stability analysis, we also describe the instability of the chimera and transition to phase turbulence with persistent patches of synchrony.
authors.affiliation: Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Straße 24/25, 14476 Potsdam, Germany. grigory.bordyugov@uni-potsdam.de
authors.forename: Grigory
authors.initials: G
authors.lastname: Bordyugov
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky
authors.forename: Michael
authors.initials: M
authors.lastname: Rosenblum
mesh_terms: D017711:Nonlinear Dynamics