Optimal design of tweezer control for chimera states.

@article{Omelchenko2018OptimalDO,
  title={Optimal design of tweezer control for chimera states.},
  author={Iryna Omelchenko and Oleh E. Omel'chenko and A. S. Zakharova and Eckehard Sch{\"o}ll},
  journal={Physical review. E},
  year={2018},
  volume={97 1-1},
  pages={
          012216
        }
}
Chimera states are complex spatio-temporal patterns which consist of coexisting domains of spatially coherent and incoherent dynamics in systems of coupled oscillators. In small networks, chimera states usually exhibit short lifetimes and erratic drifting of the spatial position of the incoherent domain. A tweezer feedback control scheme can stabilize and fix the position of chimera states. We analyze the action of the tweezer control in small nonlocally coupled networks of Van der Pol and… 
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TLDR
Varying the coupling strength and time delay in the inter-layer connections, relay synchronization between chimera states is observed, i.e., complex spatio-temporal patterns of coexisting coherent and incoherent domains, in the outer network layers.
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References

SHOWING 1-10 OF 107 REFERENCES
Tweezers for Chimeras in Small Networks.
TLDR
A control scheme which can stabilize and fix the position of chimera states in small networks, like a tweezer, might be useful in experiments, where usually only small networks can be realized.
Nonlinearity of local dynamics promotes multi-chimeras.
TLDR
Varying the bifurcation parameter of the Van der Pol system can interpolate between regular sinusoidal and strongly nonlinear relaxation oscillations and it is demonstrated that more pronounced nonlinearity induces multi-chimera states with multiple incoherent domains.
Robustness of chimera states for coupled FitzHugh-Nagumo oscillators.
TLDR
It is shown that modifications of coupling topologies cause qualitative changes of chimera states: additional random links induce a shift of the stability regions in the system parameter plane, and gaps in the connectivity matrix result in a change of the multiplicity of incoherent regions of the chimera state.
Controlling Chimeras
Coupled phase oscillators model a variety of dynamical phen omena in nature and technological applications. A curious feature of non-locally coupled phase oscil lator is the emergence of chimera…
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…
Cascades of Multiheaded Chimera States for Coupled Phase Oscillators
TLDR
By systematically analyzing the dependence of the spatiotemporal dynamics on the level of coupling attractivity/repulsivity and the range of coupling, it is uncovered that different types of chimera states exist in wide domains of the parameter space as cascades of the states with increasing number of intervals of irregularity, so-called chimera's heads.
Multicluster and traveling chimera states in nonlocal phase-coupled oscillators.
TLDR
A nonlocal phase-coupled model in which chimera states develop from random initial conditions is proposed, and their stability properties analyzed through a combination of linear stability analysis and numerical simulation.
When nonlocal coupling between oscillators becomes stronger: patched synchrony or multichimera states.
TLDR
It is found that, depending on the coupling strength and range, different multichimera states arise in a transition from classical chimera states, which cannot be observed in simple phase-oscillator models.
Amplitude-mediated chimera states.
TLDR
The numerical studies reveal the existence of a variety of amplitude-mediated chimera states that display intermittent emergence and decay of amplitude dips in their phase incoherent regions and represent a new domain of dynamical behavior in the well-explored rich phase diagram of the NLCGLE.
Chimera States in Networks of Nonlocally Coupled Hindmarsh-Rose Neuron Models
TLDR
This work verifies the existence of chimera states in coupled bistable elements, whereas to date chimeras were known to arise in models possessing a single stable limit cycle.
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