论文标题
Pendula网络中的混合模式嵌合体状态
Mixed-Mode Chimera states in Pendula Networks
论文作者
论文摘要
我们报告了与全球相位滞后耦合的相同悬垂网络中奇特的嵌合体状态的出现。报告的状态包括旋转模式和静态模式，即具有非零和零平均频率。这种混合模式嵌合体可以解释为在建模工作记忆的背景下神经科学中已知的凸起状态的图像。我们为N = 100耦合的悬垂网络说明了这种引人注目的现象，然后详细描述n = 3的最小非平凡情况。确定了五种特征类型的系统行为的参数区域：两个混合模式嵌合体，带有一个和两个旋转的摆，经典的弱嵌合体，所有三个吊长旋转，同步旋转和静态状态。网络动力学是多种多样的：多达四个状态可以在系统相状态下共存，如吸引力的盆地所证明的那样。分析表明，强大的混合模式嵌合体状态通常可以描述自然界中各种钟摆样系统的复杂动力学。
We report the emergence of peculiar chimera states in networks of identical pendula with global phase-lagged coupling. The states reported include both rotating and quiescent modes, i.e. with non-zero and zero average frequencies. This kind mixed-mode chimeras may be interpreted as images of bump states known in neuroscience in the context of modelling the working memory. We illustrate this striking phenomenon for a network of N=100 coupled pendula, followed by a detailed description of the minimal non-trivial case of N=3. Parameter regions for five characteristic types of the system behavior are identified consisting: two mixed-mode chimeras with one and two rotating pendula, classical weak chimera with all three pendula rotating, synchronous rotation and quiescent state. The network dynamics is multistable: up to four of the states can coexist in the system phase state as demonstrated through the basins of attraction. The analysis suggests that the robust mixed-mode chimera states can generically describe the complex dynamics of diverse pendula-like systems widespread in nature.
