标题： 多层网络中单向层间耦合的中继同步与动力学控制 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相互作用的复杂系统动力学提供了合适的框架。 本研究考虑了驱动层和两个相同响应层构成的非线性振子多层网络中可能出现的不同动力学状态，其中层间相互作用是单向的。 我们报告了耦合方向性如何通过中间驱动层的反馈，在两个响应层中导致放大后的中继同步。 响应层同步振荡的幅度可以通过调节层间耦合强度来控制。 此外，我们发现响应层中出现的同步模式取决于层间耦合的性质（反馈或扩散）以及驱动层与响应层之间的时标或参数失配。 因此，本研究表明，通过调整层间耦合强度或调节驱动层的动力学时标，可以远程控制和优化响应层的动力学。 显示英文摘要

摘要： Multiplex networks provide a proper framework for understanding the dynamics of complex systems with differing types of interactions. This study considers different dynamical states possible in a multiplex network of nonlinear oscillators, with a drive layer and two identical response layers where the interlayer interactions are unidirectional. We report how the directionality in coupling can lead to relay synchronization with amplification in the two response layers through feedback from the middle drive layer. The amplitude of synchronized oscillations of response layers can be controlled by tuning the strength of interlayer coupling. Moreover, we find the synchronization patterns that emerge in the response layers depend on the nature of interlayer coupling, whether feedback or diffusive, and the time scale or parameter mismatches between drive and response layers. Thus, the study indicates the potential for controlling and optimizing the dynamics of response layers remotely by adjusting the strength of interlayer coupling or tuning the dynamic time scale of the drive layer.