Yao Chenggui, Zhan Meng, Shuai Jianwei, Ma Jun, Kurths Jürgen
Department of Mathematics, Shaoxing University, Shaoxing, China.
State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China.
Chaos. 2017 Dec;27(12):126702. doi: 10.1063/1.5010304.
It has been generally believed that both time delay and network structure could play a crucial role in determining collective dynamical behaviors in complex systems. In this work, we study the influence of coupling strength, time delay, and network topology on synchronization behavior in delay-coupled networks of chaotic pendulums. Interestingly, we find that the threshold value of the coupling strength for complete synchronization in such networks strongly depends on the time delay in the coupling, but appears to be insensitive to the network structure. This lack of sensitivity was numerically tested in several typical regular networks, such as different locally and globally coupled ones as well as in several complex networks, such as small-world and scale-free networks. Furthermore, we find that the emergence of a synchronous periodic state induced by time delay is of key importance for the complete synchronization.
人们普遍认为，时间延迟和网络结构在决定复杂系统中的集体动力学行为方面都可能发挥关键作用。在这项工作中，我们研究，我们研究了耦合强度、时间延迟和网络拓扑对混沌摆延迟耦合网络中同步行为的影响。有趣的是，我们发现，此类网络中完全同步的耦合强度阈值强烈依赖于耦合中的时间延迟，但似乎对网络结构不敏感。这种不敏感性在几个典型的规则网络中进行了数值测试，如不同的局部和全局耦合网络，以及在几个复杂网络中，如小世界网络和无标度网络。此外，我们发现由时间延迟诱导的同步周期状态的出现对于完全同步至关重要。
