THEORY OF INCURSIVE SYNCHRONIZATION AND APPLICATION TO THE ANTICIPATION OF A DELAYED PEARL-VERHULST CHAOTIC SYSTEM

摘要

This paper deals with a general theory of synchronization of systems coupled by an incursive connection. For systems with a time shift, the slave or driven system anticipates the values of the master or driver system by a future time period giving rise to an anticipatory synchronization. Some extensions show the possibility to enhance the anticipatory synchronization, what we call meta-anticipatory synchronization. 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 a time duration equal to the delay. Other anticipations are also simulated.