论文标题
不可预测动议的新标准
A Novel Criterion for Unpredictable Motions
论文作者
论文摘要
我们证明了在广义同步发生的情况下，耦合的自主系统中不可预测的动作的扩展。提供了足够的条件，可以提供响应系统动力学中不可预测的动作。对于耦合的自主系统，驱动器是混合动力学系统，响应是洛伦兹系统的耦合自主系统。辅助系统方法和条件Lyapunov指数用于检测普遍同步的存在。
We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient conditions for the existence of unpredictable motions in the dynamics of the response system are provided. The theoretical results are exemplified for coupled autonomous systems in which the drive is a hybrid dynamical system and the response is a Lorenz system. The auxiliary system approach and conditional Lyapunov exponents are utilized to detect the presence of generalized synchronization.
