复杂同步场景的几何签名
Geometric signature of complex synchronisation scenarios
摘要：
耦合振荡系统之间的同步是许多自然系统和技术系统中的普遍现象。改变耦合强度通常会导致相互耦合系统的复杂动态特性发生质的变化，包括不同类型的同步，例如相位、滞后、广义或甚至完全同步。在这里，我们研究的几何签名的耦合随着两个耦合的混沌振子之间的广义同步的发病映射系统的个人以及联合递归相空间中的一个复杂的网络。对于一个范例的连续时间模型系统，由此产生的联合递归网络的传递性属性显示与所考虑的轨迹的不同部分之间的结构相似性的变化相关联的不同变化。因此，它们为普遍同步的出现提供了一个有用的指标。这篇论文是专门为25周年的介绍递归图埃克曼等。（欧洲物理。Lett. 4（1987），973）。
英文摘要：
Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the strength of coupling often leads to qualitative changes in the complex dynamics of the mutually coupled systems including different types of synchronisation such as phase, lag, generalised, or even complete synchronisation. Here, we study the geometric signatures of coupling along with the onset of generalised synchronisation between two coupled chaotic oscillators by mapping the systems' individual as well as joint recurrences in phase space to a complex network. For a paradigmatic continuous-time model system, the transitivity properties of the resulting joint recurrence networks display distinct variations associated with changes in the structural similarity between different parts of the considered trajectories. They therefore provide a useful indicator for the emergence of generalised synchronisation. This paper is dedicated to the 25th anniversary of the introduction of recurrence plots by Eckmann et al. (Europhys. Lett. 4 (1987), 973).
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