Synchronization in complex networks with distinct chaotic nodes

Synchronization in complex networks with distinct chaotic nodes
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DOI:
10.1016/j.cnsns.2008.09.019
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发表时间:
2009-06
影响因子:
3.9
通讯作者:
G. Solís-Perales;E. Ruiz‐Velázquez;D. Valle-Rodriguez
G. Solís-Perales;E. Ruiz‐Velázquez;D. Valle-Rodriguez
中科院分区:
数学2区
文献类型:
--
作者:
G. Solís-Perales;E. Ruiz‐Velázquez;D. Valle-Rodriguez

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提出了一种具有不同节点的复杂网络的混沌同步方法。混沌同步是通过在网络方程中加入导数耦合项来实现的。我们假设网络中的节点是不同的,由Lorenz, Rössler, Chen和Sprott混沌系统给出。该导数项能够诱导网络中的同步行为。此外,这种耦合导致全局行为为混沌吸引子。我们发现,在没有导数耦合的情况下,网络只被引导到一个平衡点或一个极限环。数值模拟说明了这一结果。互补的网络同步在导数耦合的存在下是混沌的。
We present an approach to the chaos synchronization of complex networks with distinct nodes. The chaotic synchronization is achieved by adding a derivative coupling term in the network equation. We assume that node in networks are different and are given by the Lorenz, Rössler, Chen and Sprott chaotic systems. The derivative term is capable to induce the synchronous behavior in the network. Moreover such a coupling leads the global behavior to a chaotic attractor. We found that without derivative coupling the network is leaded only to an equilibrium point or a limit cycle. Numerical simulations are provided to illustrate the result. Complementary the network synchrony can be chaotic in presence of the derivative coupling.