Jalan Sarika, Kumar Anil, Zaikin Alexey, Kurths Jürgen
Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore, Simrol, Indore 453552, India.
Centre for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Simrol, Indore 453552, India.
Phys Rev E. 2016 Dec;94(6-1):062202. doi: 10.1103/PhysRevE.94.062202. Epub 2016 Dec 1.
We study the evolution of coupled chaotic dynamics on networks and investigate the role of degree-degree correlation in the networks' cluster synchronizability. We find that an increase in the disassortativity can lead to an increase or a decrease in the cluster synchronizability depending on the degree distribution and average connectivity of the network. Networks with heterogeneous degree distribution exhibit significant changes in cluster synchronizability as well as in the phenomena behind cluster synchronization as compared to those of homogeneous networks. Interestingly, cluster synchronizability of a network may be very different from global synchronizability due to the presence of the driven phenomenon behind the cluster formation. Furthermore, we show how degeneracy at the zero eigenvalues provides an understanding of the occurrence of the driven phenomenon behind the synchronization in disassortative networks. The results demonstrate the importance of degree-degree correlations in determining cluster synchronization behavior of complex networks and hence have potential applications in understanding and predicting dynamical behavior of complex systems ranging from brain to social systems.
我们研究了网络上耦合混沌动力学的演化，并探讨了度-度相关性在网络簇同步性中的作用。我们发现，异配性的增加可能会导致簇同步性增加或减少，这取决于网络的度分布和平均连通性。与同构网络相比，具有异构度分布的网络在簇同步性以及簇同步背后的现象方面表现出显著变化。有趣的是，由于簇形成背后存在驱动现象，网络的簇同步性可能与全局同步性非常不同。此外，我们展示了零特征值处的简并性如何有助于理解异配网络中同步背后驱动现象的发生。结果表明度-度相关性在确定复杂网络的簇同步行为方面的重要性，因此在理解和预测从大脑到社会系统等复杂系统的动力学行为方面具有潜在应用。
