Anticipating chaotic synchronization

Abstract

Dissipative chaotic systems with a time-delayed feedback can drive near-identical systems in such a way that the driven systems anticipate the drivers by synchronizing with their (arbitrarily distant) future states. This counterintuitive behavior is globally stable, robust, and a pure result of the interplay between delayed feedback and dissipation. Thus it constitutes a rather universal phenomenon of nonlinear dynamics. For small anticipation times, anticipating synchronization also occurs in chaotic systems without a memory term in the driver.