混沌映射无标度网络中协变李雅普诺夫向量的可预测非游荡局部化与簇同步
Predictable nonwandering localization of covariant Lyapunov vectors and cluster synchronization in scale-free networks of chaotic maps
摘要：
Henon映射的无标度网络的协变李雅普诺夫向量是高度局部化的。我们揭示了两种机制的本地化相关的网络节点的全和相位集群同步。在这两种情况下，定位节点在动态过程中保持不变，即，定位是非游荡的。这也是可以预见的：发现定位节点具有特定的动力学和拓扑性质，并且可以在不计算协变向量的情况下找到它们。这是一个例子，明确的系统拓扑结构之间的关系，其相空间动力学，以及相关的切空间动力学的协变李雅普诺夫向量。
英文摘要：
Covariant Lyapunov vectors for scale-free networks of Henon maps are highly localized. We revealed two mechanisms of the localization related to full and phase cluster synchronization of network nodes. In both cases the localization nodes remain unaltered in course of the dynamics, i.e., the localization is nonwandering. Moreover this is predictable: the localization nodes are found to have specific dynamical and topological properties and they can be found without computing of the covariant vectors. This is an example of explicit relations between the system topology, its phase space dynamics, and the associated tangent space dynamics of covariant Lyapunov vectors.
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