Department of Applied Physics, Xi'an University of Technology, Xi'an 710048, China.
The Key Laboratory of Biomedical Information Engineering of Ministry of Education, National Engineering Research Center of Health Care and Medical Devices, The Key Laboratory of Neuro-informatics & Rehabilitation Engineering of Ministry of Civil Affairs, and Institute of Health and Rehabilitation Science, School of Life Science and Technology, Xi'an Jiaotong University, Xi'an 710049, China.
Phys Rev E. 2019 Jan;99(1-1):010201. doi: 10.1103/PhysRevE.99.010201.
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 the controlled generation of chimera states with their coherent component placed in any desired spatial region of the system.
时空动力学系统中的嵌合体状态在物理、化学和生物系统中都得到了研究，并被证明对随机扰动具有鲁棒性。嵌合体状态如何实现其鲁棒性？我们发现了一种自适应行为，即在空间局部扰动下，嵌合体状态的相干分量会自发地漂移到尽可能远离扰动的最佳位置，仅将其非相干分量暴露于扰动以最小化干扰。对嵌合体状态时空模式向最优稳定状态的演化进行系统的数值分析揭示了与扰动空间位置无关的指数弛豫过程，这意味着可以将其影响建模为机械系统中的恢复力和阻尼力，并能够阐述一个现象学模型。该模型不仅能够重现数值结果，还能够预测漂移轨迹。我们的发现引人注目，因为它揭示了嵌合体状态本质上通过自适应具有一种“智能”，以实现鲁棒性。这种行为可用于控制生成嵌合体状态，将其相干分量放置在系统的任何期望空间区域中。
