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| 1 | Spatial multi-scaled chimera states of cerebral cortex network and its inherent structure-dynamics relationship in human brain显示文摘Human cerebral cortex displays various dynamics patterns under different states,however the mechanism how such diverse patterns can be supported by the underlying brain network is still not well understood.Human brain has a unique network structure with different regions of interesting to perform cognitive tasks.Using coupled neural mass oscillators on human cortical network and paying attention to both global and local regions,we observe a new feature of chimera states with multiple spatial scales and a positive correlation between the synchronization preference of local region and the degree of symmetry of the connectivity of the region in the network.Further,we use the concept of effective symmetry in the network to build structural and dynamical hierarchical trees and find close matching between them.These results help to explain the multiple brain rhythms observed in experiments and suggest a generic principle for complex brain network as a structure substrate to support diverse functional patterns. | Siyu Huo Changhai Tian Muhua Zheng Shuguang Guan Changsong Zhou Zonghua Liu | 2021 | National Science Review2021，8，1： | 1 |
| 2 | 耦合网络间的有限时聚类改进投影同步显示文摘给出自适应控制下,两个不同拓扑的耦合网络在有限时实现聚类改进投影同步的充分条件.首先,根据聚类改进投影同步的定义以及对角矩阵排列因子(scaling factor),得出误差系统的具体形式.然后通过设计恰当的自适应控制器和李雅普诺夫函数,在已有的引理支撑下,得出两个不同拓扑的耦合网络之间的同步准则.结论表明该有限时聚类改进投影同步实现的停时不仅依赖于初始时刻,还依赖于所设计的自适应控制器的参数以及自适应更新法则.为了使结论更具一般性,文章对该网络仅仅加了较少的假设和限制,从而更方便应用于实际.最后,通过数值模拟,结合图中的标注验证了所给的两个具体网络的聚类改进投影同步实现的可行性. | 曹娟 任凤丽 | 2021 | 系统科学与数学2021，41，5： | 1 |
| 3 | 复杂网络上的同步斑图显示文摘作为非线性时空系统中特有的现象,动力学斑图受到不同研究领域人们的共同关注.近年来,受网络科学发展的影响,人们对复杂网络中的各种集体动力学行为进行了深入研究,并在此过程中认识到网络结构对网络动力学的重要影响.因时空斑图是众多复杂系统实现其功能的动力学基础,又因复杂网络结构在现实复杂系统中普遍存在,故复杂网络中的斑图行为受到人们的关注.然而,受技术和方法的限制,目前人们对复杂网络中的斑图行为研究甚少.本文以全同混沌振子组成的耦合复杂网络为例,简要介绍了近年来人们在复杂网络同步斑图研究中所取得的一些进展,包括同步斑图的动力学特征、网络对称性对同步斑图的影响、同步斑图的稳定性分析理论以及同步斑图的控制方法等.同时,文中还将围绕现实复杂网络中遇到的一些具体问题,就目前复杂网络同步斑图研究中所存在的问题和面临的挑战进行简单的讨论. | 王新刚 | 2020 | 中国科学:物理学、力学、天文学2020，50，1： | 1 |
| 4 | Synchronization within synchronization:transients and intermittency in ecological networks显示文摘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. | Huawei Fan Ling-Wei Kong Xingang Wang Alan Hastings Ying-Cheng Lai | 2021 | National Science Review2021，8，10： | 0 |
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