Winkler Marco, Butsch Sebastian, Kinzel Wolfgang
Institute for Theoretical Physics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 2):016203. doi: 10.1103/PhysRevE.86.016203. Epub 2012 Jul 5.
Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities of its two units by two competing mechanisms: An exponential decrease of the coupling strength is compensated for by an increase due to desynchronized activity. This mechanism prevents the network from reaching a steady state. Numerical simulations of a coupled map lattice show chaotic trajectories of desynchronized units interrupted by pulses of mutually synchronized clusters. These pulses occur on all scales, sometimes extending to the entire network. Clusters of synchronized units can be triggered by a small group of synchronized units.
具有静态耦合的混沌单元网络能够同步到一条共同的混沌轨迹。研究了动态自适应耦合对混沌网络协同行为的影响。耦合通过两种相互竞争的机制根据其两个单元的活动进行调整：耦合强度的指数下降会因去同步活动导致的增加而得到补偿。这种机制可防止网络达到稳态。耦合映射格点的数值模拟显示，去同步单元的混沌轨迹会被相互同步簇的脉冲打断。这些脉冲在所有尺度上都会出现，有时会扩展到整个网络。一小群同步单元就能触发同步单元簇。
