Shabunin A, Feudel U, Astakhov V
Physical Faculty, Saratov State University, Astrakhanskaya Str., Saratov 410012, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 2):026211. doi: 10.1103/PhysRevE.80.026211. Epub 2009 Aug 20.
We consider phase multistability and phase synchronization phenomena in a chain of period-doubling oscillators. The synchronization in arrays of diffusively coupled self-sustained oscillators manifests itself as rotating wave regimes, which are characterized by equal amplitudes and phases in every site which are shifted by a constant value. The value of the phase shift is preserved while the shape of motion becomes more complex through a period-doubling cascade. The number of coexisting attractors increases drastically after the transition from period-one to period-two oscillations and then after every following period-doubling bifurcation. In the chaotic region, we observe a number of phase-synchronized modes with instantaneous phases locked in different values. The loss of phase synchronization with decreasing coupling is accompanied by intermittency between several synchronous regimes.
我们考虑倍周期振荡器链中的相位多稳定性和相位同步现象。扩散耦合自激振荡器阵列中的同步表现为旋转波状态，其特征是每个位点具有相等的振幅和相位，且相位偏移为恒定值。在通过倍周期级联使运动形状变得更复杂时，相位偏移值保持不变。从周期一振荡过渡到周期二振荡后，以及随后的每次倍周期分岔之后，共存吸引子的数量会急剧增加。在混沌区域，我们观察到许多相位同步模式，其瞬时相位锁定在不同值。随着耦合减小，相位同步的丧失伴随着几种同步状态之间的间歇性。
