Smallest chimera states.

  title={Smallest chimera states.},
  author={Yuri L. Maistrenko and Serhiy Brezetsky and Patrycja Jaros and Roman Levchenko and Tomasz Kapitaniak},
  journal={Physical review. E},
  volume={95 1-1},
We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras, characterized by the coexistence of two coherent oscillators and one incoherent oscillator (i.e., rotating with another frequency) have been identified, where the oscillators show periodic (two types) and chaotic (one type) behaviors. Typical bifurcations at the transitions from full synchronization to chimera… 

Figures from this paper

Transient chimera-like states for forced oscillators.

This work considers a star network, in which N identical peripheral end nodes are connected to the central hub node, and finds that if a single node exhibits transient chaotic behavior in the whole network, the pattern of transient chimeralike state is created, which persists for a significant amount of time.

Minimal chimera states in phase-lag coupled mechanical oscillators

We obtain experimental chimera states in the minimal network of three identical mechanical oscillators (metronomes), by introducing phase-lagged all-to-all coupling. For this, we have developed a

Networks of coupled oscillators: From phase to amplitude chimeras.

It is found numerically that the amplitude chimeras are not short-living transients but can have a long lifetime and qualitative explanation of the observed phenomena in the light of symmetry breaking bifurcation scenarios is provided.

Analysis of chimera states as drive-response systems

The present analysis provides a unifying explanation of the inherently frustrated dynamics that gives rise to chimera states.

The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators.

It is demonstrated for the first time the existence of a chimera state with only two diffusively coupled identical oscillators, one behaving nearly periodically ( coherently) and the other chaotically (incoherently).

Small amplitude chimeras for coupled clocks

We report the arise of small amplitude chimera states in three coupled pendulum clocks suspended on an oscillating base. Two types of chimeras are identified and described by the character of the

Blinking chimeras in globally coupled rotators.

This work describes a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia) characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration.

Traveling chimera states for coupled pendula

We investigate the phenomenon of traveling chimera states in the ring of self-excited coupled pendula suspended on the horizontally oscillating wheel. The bifurcation scenario of chimera creation and

Nonstationary chimeras in a neuronal network

Chimeras are special states that are composed of coexisting spatial domains of coherent and incoherent dynamics, which typically emerge in identically coupled oscillators. In this paper, we study a