Department of Applied Physics, Xi'an University of Technology, Xi'an 710054, China.
School of Life Science and Technology, Xi'an Jiao Tong University, Xi'an 710049, China.
Chaos. 2023 Jul 1;33(7). doi: 10.1063/5.0152858.
Chimera states in spatiotemporal dynamical systems have been investigated in physical, chemical, and biological systems, while how the system is steering toward different final destinies upon spatially localized perturbation is still unknown. Through a systematic numerical analysis of the evolution of the spatiotemporal patterns of multi-chimera states, we uncover a critical behavior of the system in transient time toward either chimera or synchronization as the final stable state. We measure the critical values and the transient time of chimeras with different numbers of clusters. Then, based on an adequate verification, we fit and analyze the distribution of the transient time, which obeys power-law variation process with the increase in perturbation strengths. Moreover, the comparison between different clusters exhibits an interesting phenomenon, thus we find that the critical value of odd and even clusters will alternatively converge into a certain value from two sides, respectively, implying that this critical behavior can be modeled and enabling the articulation of a phenomenological model.
时空动力系统中的嵌合体状态已经在物理、化学和生物系统中进行了研究，然而，当系统受到空间局部扰动时，如何导向不同的最终命运仍然未知。通过对多嵌合体状态时空模式演化的系统数值分析，我们揭示了系统在瞬态时间内朝着嵌合体或同步作为最终稳定状态的临界行为。我们测量了具有不同簇数的嵌合体的临界值和瞬态时间。然后，基于充分的验证，我们拟合和分析了瞬态时间的分布，它遵循随着扰动强度增加的幂律变化过程。此外，不同簇之间的比较表现出一个有趣的现象，因此我们发现奇数和偶数簇的临界值将分别从两侧交替收敛到某个值，这意味着这种临界行为可以被建模，并能够阐明一个现象学模型。
