Kuptsov Pavel V, Kuptsova Anna V
Institute of Electronics and Mechanical Engineering, Yuri Gagarin State Technical University of Saratov, Politekhnicheskaya 77, Saratov 410054, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042912. doi: 10.1103/PhysRevE.92.042912. Epub 2015 Oct 14.
In this paper we categorize dynamical regimes demonstrated by starlike networks with chaotic nodes. This analysis is done in view of further studying of chaotic scale-free networks, since a starlike structure is the main motif of them. We analyze starlike networks of Hénon maps. They are found to demonstrate a huge diversity of regimes. Varying the coupling strength we reveal chaos, quasiperiodicity, and periodicity. The nodes can be both fully and phase synchronized. The hub node can be either synchronized with the subordinate nodes or oscillate separately from fully synchronized subordinates. There is a range of wild multistability where the zoo of regimes is the most various. One can hardly predict here even a qualitative nature of the expected solution, since each perturbation of the coupling strength or initial conditions results in a new character of dynamics.
在本文中，我们对具有混沌节点的星状网络所呈现的动力学状态进行了分类。鉴于对混沌无标度网络的进一步研究，我们开展了此项分析，因为星状结构是此类网络的主要构成要素。我们分析了由亨农映射构成的星状网络。结果发现，这些网络呈现出极为多样的状态。通过改变耦合强度，我们揭示出了混沌、准周期性和周期性。节点既可以实现完全同步，也可以实现相位同步。中心节点既可以与从属节点同步，也可以与完全同步的从属节点分开振荡。存在一系列极为复杂的多稳态，其中状态种类最为繁多。在这里，甚至很难预测预期解的定性性质，因为耦合强度或初始条件的每一次扰动都会导致动力学呈现出新的特征。
