Pazó Diego, Zaks Michael A, Kurths Jürgen
Grupo de Física non Lineal, Fac. de Física, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain.
Chaos. 2003 Mar;13(1):309-18. doi: 10.1063/1.1518430.
An increase of the coupling strength in the system of two coupled Rössler oscillators leads from a nonsynchronized state through phase synchronization to the regime of lag synchronization. The role of unstable periodic orbits in these transitions is investigated. Changes in the structure of attracting sets are discussed. We demonstrate that the onset of phase synchronization is related to phase-lockings on the surfaces of unstable tori, whereas transition from phase to lag synchronization is preceded by a decrease in the number of unstable periodic orbits.
在两个耦合的罗斯勒振荡器系统中，耦合强度的增加会导致从非同步状态经过相位同步进入滞后同步状态。研究了不稳定周期轨道在这些转变中的作用。讨论了吸引集结构的变化。我们证明，相位同步的起始与不稳定环面上的锁相有关，而从相位同步到滞后同步的转变之前是不稳定周期轨道数量的减少。
