Shepelev I A, Strelkova G I, Anishchenko V S
Department of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
Chaos. 2018 Jun;28(6):063119. doi: 10.1063/1.5020009.
We study the spatiotemporal dynamics of coupled Lorenz systems with nonlocal interaction and for small values of the coupling strength. It is shown that due to the interaction the effective values of the control parameters can shift and the classical quasi-hyperbolic Lorenz attractor in an isolated element is transformed to a nonhyperbolic one. In this case, the network becomes multistable that is a typical property of nonhyperbolic chaotic systems. This fact gives rise to the appearance of chimera-like states, which have not been found in the studied network before. We also reveal and describe three different types of intermittency, both in time and in space, between various spatiotemporal structures in the network of nonlocally coupled Lorenz models.
我们研究了具有非局部相互作用且耦合强度较小的耦合洛伦兹系统的时空动力学。结果表明，由于相互作用，控制参数的有效值可能会发生偏移，并且孤立元件中的经典准双曲洛伦兹吸引子会转变为非双曲吸引子。在这种情况下，网络变得多稳态，这是非双曲混沌系统的典型特性。这一事实导致了类奇美拉态的出现，而此前在所研究的网络中尚未发现此类状态。我们还揭示并描述了非局部耦合洛伦兹模型网络中各种时空结构之间在时间和空间上的三种不同类型的间歇性。
