标题： 中继同步与控制单向层间耦合多层网络中的动态特性 显示英文标题

标题： Relay synchronization and control of dynamics in multiplex networks with unidirectional inter layer coupling

摘要： 多层网络为理解具有不同类型交互的复杂系统的动态提供了适当的框架。 在本研究中，我们考虑非线性振荡器多层网络中不同动态状态的发生，其中包含一个驱动层和两个相同的响应层，层间交互是单向的。 我们报告了耦合的方向性如何通过中间的驱动层导致两个响应层的中继同步并产生放大效果。 此外，我们发现通过调整层间耦合强度或调节驱动层的动力学时间尺度，可以控制响应层的动力学。 当驱动层和响应层之间存在非相同参数时，响应层会完全同步，并与驱动层存在功能关系，表明驱动网络和响应网络之间存在广义同步。 显示英文摘要

摘要： Multiplex networks provide a proper framework for understanding the dynamics of complex systems with different types of interactions. In this study, we consider the occurrence of different dynamical states in a multiplex network of nonlinear oscillators, with a drive layer and two identical response layers where the inter layer interactions are unidirectional. We report how the directionality in coupling can lead to relay synchronization with amplification in the two response layers, through the middle drive layer. Moreover, we find that the dynamics of the response layers can be controlled by adjusting the strength of inter layer coupling or tuning the dynamical time scale of the drive layer. With nonidentical parameters between the drive and response layers, the response layers get completely synchronized, with a functional relation with the drive, indicating generalized synchronization between the drive and response networks.