论文标题
同步内的同步:生态网络中的瞬态和间歇性
Synchronization within synchronization: transients and intermittency in ecological networks
论文作者
论文摘要
瞬态是对管理,保护和生物控制具有重要意义的生态系统的基础。我们在空间生态网络中发现了一种瞬时同步行为,其局部动力学是混乱的,捕食者捕集的类型。在所有斑块之间存在相位同步的参数状态中,可以在某些对网络对称性确定的一对斑块中出现完整的同步(即相位和振幅同步) - 此后,“同步内同步”的现象。完全同步的不同模式共存,但是由于固有的不稳定性或噪声,每个模式都是瞬态的,并且在时间演化过程中,模式之间存在随机的间歇性切换。发现瞬态时间的概率分布遵循代数缩放定律,平均瞬态寿命有不同。基于对称考虑因素,我们开发了稳定分析以了解这些现象。还可以利用对称性的一般原理来解释生态网络中先前发现的违反直觉同步行为。
Transients are fundamental to ecological systems with significant implications to management, conservation, and biological control. We uncover a type of transient synchronization behavior in spatial ecological networks whose local dynamics are of the chaotic, predator-prey type. In the parameter regime where there is phase synchronization among all the patches, complete synchronization (i.e., synchronization in both phase and amplitude) can arise in certain pairs of patches as determined by the network symmetry - henceforth the phenomenon of "synchronization within synchronization." Distinct patterns of complete synchronization coexist but, due to intrinsic instability or noise, each pattern is a transient and there is random, intermittent switching among the patterns in the course of time evolution. The probability distribution of the transient time is found to follow an algebraic scaling law with a divergent average transient lifetime. Based on symmetry considerations, we develop a stability analysis to understand these phenomena. The general principle of symmetry can also be exploited to explain previously discovered, counterintuitive synchronization behaviors in ecological networks.