Synchronization within synchronization: transients and intermittency in ecological networks
Synchronization within synchronization: transients and intermittency in ecological networks作者机构：School of Physics and Information Technology Shaanxi Normal University School of ElectricalComputer and Energy Engineering Arizona State University Department of Environmental Science and PolicyUniversity of California Santa Fe Institute Department of Physics Arizona State University
出 版 物：《National Science Review》 (国家科学评论(英文版))
年 卷 期：2021年第8卷第10期
页 面：23-32页
核心收录：
学科分类：07[理学] 09[农学] 0903[农学-农业资源与环境] 0713[理学-生态学]
基 金：support from the Vannevar Bush Faculty Fellowship program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering funded by the Office of Naval Research through Grant No. N00014-16-1-2828 supported by the National Natural Science Foundation of China (11875182)
主 题：ecological networks cluster synchronization phase synchronization transient chaos network symmetry
摘 要：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.
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