Self adaptation of chimera states
arXiv:1812.06336 · doi:10.1103/PhysRevE.99.010201
Abstract
Chimera states in spatiotemporal dynamical systems have been investigated in physical, chemical, and biological systems, and have been shown to be robust against random perturbations. How do chimera states achieve their robustness? We uncover a self-adaptation behavior by which, upon a spatially localized perturbation, the coherent component of the chimera state spontaneously drifts to an optimal location as far away from the perturbation as possible, exposing only its incoherent component to the perturbation to minimize the disturbance. A systematic numerical analysis of the evolution of the spatiotemporal pattern of the chimera state towards the optimal stable state reveals an exponential relaxation process independent of the spatial location of the perturbation, implying that its effects can be modeled as restoring and damping forces in a mechanical system and enabling the articulation of a phenomenological model. Not only is the model able to reproduce the numerical results, it can also predict the trajectory of drifting. Our finding is striking as it reveals that, inherently, chimera states possess a kind of "intelligence" in achieving robustness through self adaptation. The behavior can be exploited for controlled generation of chimera states with their coherent component placed in any desired spatial region of the system.
arXiv comment6 pages, 4 figures
References in corpus (31)
- Chimera States for Coupled Oscillators
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Chimera States in Mechanical Oscillator Networks
- Solvable model for chimera states of coupled oscillators
- Long Time Evolution of Phase Oscillator Systems
- Loss of coherence in dynamical networks: spatial chaos and chimera states
- When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
- Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
- Solvable Model of Spiral Wave Chimeras
- Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
- Clustered chimera states in delay coupled oscillator systems
- Chimera States in a Ring of Nonlocally Coupled Oscillators
- Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
- Chimera states in heterogeneous networks
- A classification scheme for chimera states
- Chimera states: Effects of different coupling topologies
- Experimental observation of chimera and cluster states in a minimal globally coupled network
- Controlling unstable chaos: Stabilizing chimera states by feedback
- Instability of synchronized motion in nonlocally coupled neural oscillators
- Collective chaos in pulse-coupled neural networks
- Chimera states on a flat torus
- Controlling Chimeras
- Basin stability for chimera states
- Nonlinearity of local dynamics promotes multi-chimeras
- Chimera states on the surface of a sphere
- Chimeras in a Network of Three Oscillator Populations with Varying Network Topology
- Globally clustered chimera states in delay--coupled populations
- The oscillating two-cluster chimera state in non-locally coupled phase oscillators
- Chaos in Dirac electron optics: Emergence of a relativistic quantum chimera
- Quantum chimera states