Self-adaptation of chimera states

TY - JOUR

T1 - Self-adaptation of chimera states

AU - Yao, Nan

AU - Huang, Zi-Gang

AU - Ren, Hai Peng

AU - Grebogi, Celso

AU - Lai, Ying-Cheng

N1 - This work was partially supported by the National Natural Science Foundation of China (Grants No. 11647052 and No. 61431012), by the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 17JK0553), by the Young Talent fund of University Association for Science and Technology in Shaanxi, China (Program No. 20170606), and by the Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2018JQ1010). Z.-G.H acknowledges support of K. C. Wong Education Foundation. Y.-C.L is supported by ONR under Grant No. N00014-16-1-2828.

PY - 2019/1

Y1 - 2019/1

N2 - 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.

AB - 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.

KW - COHERENCE

KW - DYNAMICS

KW - INCOHERENCE

KW - RING

UR - http://www.scopus.com/inward/record.url?scp=85059855428&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/selfadaptation-chimera-states

U2 - 10.1103/PhysRevE.99.010201

DO - 10.1103/PhysRevE.99.010201

M3 - Article

VL - 99

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 1

M1 - 010201(R)

ER -