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首页> 外文会议>Fifth International Conference on Computing Anticipatory Systems (CASYS 2001) Aug 13-18, 2001 Liege, Belgium >Theory of Incursive Synchronization and Application to the Anticipation of Delayed Linear and Nonlinear Systems
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Theory of Incursive Synchronization and Application to the Anticipation of Delayed Linear and Nonlinear Systems

机译：递归同步理论及其在时滞线性和非线性系统中的应用

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摘要

A general theory of synchronization of systems coupled by an incursive connection is developed. For differential delayed equation systems with a time shift, a slave or driven system anticipates the values of the master or driver system by a future time period, equal to the delay, giving rise to an anticipatory synchronization. Several extensions are successively considered. The anticipation of the synchronization can be modulated between the duration of the delay to a null anticipation. The anticipatory synchronization is extended to differential equation systems without delay. Finally, it is also possible to build a hierarchical anticipatory synchronization, what we call a meta-anticipatory synchronization. The discrete equation systems corresponding to the differential equation systems are explicitly described in view of numerical simulations. An application is shown in the case of a chaotic delayed Pearl-Verhulst system. A slave model is incursively synchronized to the master system, the simulation of which showing an anticipation of the slave system by different time durations. Finally, this method is applied to a simple discrete delayed linear system.
机译：提出了一种通过递归连接耦合的系统同步的一般理论。对于具有时移的微分延迟方程系统，从属系统或从动系统会在将来的时间段内等于延迟，从而预测主系统或驱动器系统的值，从而产生预期的同步。相继考虑了几个扩展。可以在延迟的持续时间到无效的期望之间调制同步的期望。预期同步无延迟地扩展到微分方程系统。最后，也可以构建分层的预期同步，我们称之为元预期同步。鉴于数值模拟，明确描述了与微分方程组相对应的离散方程组。在混沌延迟的Pearl-Verhulst系统的情况下显示了一个应用。一个从模型被递归地同步到主系统，其仿真显示了不同持续时间对从系统的预期。最后，该方法被应用于简单的离散延迟线性系统。

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