Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, People's Republic of China.
Chaos. 2013 Sep;23(3):033140. doi: 10.1063/1.4821942.
Time delayed coupling plays a crucial role in determining the system's dynamics. We here report that the time delay induces transition from the asynchronous state to the complete synchronization (CS) state in the repulsively coupled chaotic oscillators. In particular, by changing the coupling strength or time delay, various types of synchronous patterns, including CS, antiphase CS, antiphase synchronization (ANS), and phase synchronization, can be generated. In the transition regions between different synchronous patterns, bistable synchronous oscillators can be observed. Furthermore, we show that the time-delay-induced phase flip bifurcation is of key importance for the emergence of CS. All these findings may light on our understanding of neuronal synchronization and information processing in the brain.
时滞耦合在确定系统动力学方面起着至关重要的作用。我们在这里报告，时滞会导致排斥耦合混沌振荡器从异步状态到完全同步（CS）状态的转变。特别是，通过改变耦合强度或时滞，可以产生各种类型的同步模式，包括 CS、反相 CS、反相同步（ANS）和相位同步。在不同同步模式之间的过渡区域，可以观察到双稳同步振荡器。此外，我们表明，时滞诱导的相位翻转分岔对于 CS 的出现至关重要。所有这些发现可能有助于我们理解神经元同步和大脑中的信息处理。
