Chimera and phase-cluster states in populations of coupled chemical oscillators

  title={Chimera and phase-cluster states in populations of coupled chemical oscillators},
  author={Mark R Tinsley and Simbarashe Nkomo and Kenneth Showalter},
  journal={Nature Physics},
Chimera states describing the stable coexistence of synchronous and incoherent dynamics have so far only been realized numerically. An experimental demonstration of these states in a network of discrete chemical oscillators reveals behaviour that differs from that predicted by existing phase-oscillator models. 
Chimera States in populations of nonlocally coupled chemical oscillators.
Chimera states occur spontaneously in populations of coupled photosensitive chemical oscillators. Experiments and simulations are carried out on nonlocally coupled oscillators, with the coupling
Chimera states in a bipartite network of phase oscillators
The chimera state, exhibiting a hybrid state of coexisting coherent and incoherent behaviors, has become a fast growing field in the past decade. In this paper, we investigate bipartite networks of
Breathing chimera in a system of phase oscillators
Chimera states consisting of synchronous and asynchronous domains in a medium of nonlinearly coupled phase oscillators have been considered. Stationary inhomogeneous solutions of the Ott–Antonsen
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually
Chimera states in an ensemble of linearly locally coupled bistable oscillators
Chimera states in a system with linear local connections have been studied. The system is a ring ensemble of analog bistable self-excited oscillators with a resistive coupling. It has been shown that
Persistent chimera states in nonlocally coupled phase oscillators.
  • Y. SudaK. Okuda
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2015
The result is obtained that chimera states can be stable even without taking the continuous limit, which is called the persistent chimera state.
Chimera states in a population of identical oscillators under planar cross-coupling
We report the existence of chimera states in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry
Chimera and chimera-like states in populations of nonlocally coupled homogeneous and heterogeneous chemical oscillators.
Simulations with a realistic model of the discrete BZ system of populations of homogeneous and heterogeneous oscillators of chimeras and chimera states with multiple and traveling phase clusters, phase-slip behavior, and chimers with phase waves are described.
Interaction of chimera states in a multilayered network of nonlocally coupled oscillators
The processes of formation and evolution of chimera states in the model of a multilayered network of nonlinear elements with complex coupling topology are studied. A two-layered network of nonlocally


Clustered chimera states in delay-coupled oscillator systems.
Novel clustered chimera states are found that have spatially distributed phase coherence separated by incoherence with adjacent coherent regions in antiphase through time-delay induced phase clustering.
Chimera States in a Ring of Nonlocally Coupled oscillators
Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays and coupled biochemical oscil...
Chimera states for coupled oscillators.
It is shown that the stable chimera state bifurcates from a spatially modulated drift state, and dies in a saddle-node biforcation with an unstable chimer state for a ring of phase oscillators coupled by a cosine kernel.
Solvable model for chimera states of coupled oscillators.
The first exact results about the stability, dynamics, and bifurcations of chimera states are obtained by analyzing a minimal model consisting of two interacting populations of oscillators.
Self-emerging and turbulent chimeras in oscillator chains.
A theory of chimera is developed based on the Ott-Antonsen equations for the local complex order parameter for the self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators.
Nonlinear dynamics: Spontaneous synchrony breaking
Research on synchronization of coupled oscillators has helped explain how uniform behaviour emerges in populations of non-uniform systems. But explaining how uniform populations engage in 'chimera
Phase clusters in large populations of chemical oscillators.
The classical Kuramoto synchronization transition occurssmoothly above the critical coupling strength, and the frequency and phase of the oscillators become increasinglyaligned with increasing coupling strength.
Metastable chimera states in community-structured oscillator networks.
A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which
Chimera states in heterogeneous networks.
Heterogeneous models for which the natural frequencies of the oscillators are chosen from a distribution are studied, finding that heterogeneity can destroy chimerae, destroy all states except chimerAE, or destabilize Chimerae in Hopf bifurcations, depending on the form of the heterogeneity.
Chimera states: the natural link between coherence and incoherence.
It is shown that in a network of globally coupled oscillators delayed feedback stimulation with realistic stimulation profile generically induces chimera states, which are the natural link between the coherent and the incoherent states.