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