Yanchuk Serhiy, Kapitaniak Tomasz
Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):017202. doi: 10.1103/PhysRevE.68.017202. Epub 2003 Jul 22.
Riddling bifurcation, i.e., the bifurcation in which one of the unstable periodic orbits embedded in a chaotic attractor becomes unstable transverse to the attractor, leads to the loss of chaos synchronization in coupled identical systems. We discuss here the manifestation of the riddling bifurcation for the case of a small parameter mismatch between coupled systems. We show that for slightly nonidentical coupled systems, the transverse growth of the synchronous attractor is mediated by transverse bifurcations of unstable periodic orbits embedded into the attractor. The desynchronization mechanism is shown to be similar to the case of chaos-hyperchaos transition.
筛状分岔，即嵌入混沌吸引子的不稳定周期轨道之一相对于吸引子变得横向不稳定的分岔，会导致耦合相同系统中混沌同步的丧失。在此，我们讨论耦合系统之间存在小参数失配情况下筛状分岔的表现。我们表明，对于略微不相同的耦合系统，同步吸引子的横向增长是由嵌入吸引子的不稳定周期轨道的横向分岔介导的。去同步机制被证明与混沌 - 超混沌转变的情况相似。
