SYNCHRONIZATION OF SPATIOTEMPORAL CHAOS WITH POSITIVE CONDITIONAL LYAPUNOV EXPONENTS

Computer simulations show that following the scalar driving approach s ynchronization of spatiotemporal chaos can also be achieved in driven subs stem with positive conditional Lyapunov exponents, This is a resu lt of the so-called extreme trap. In the neighborhood of the maximum v alue, the higher-order term of difference causes a first-order dissipa tive effect. which is nor. reflected bq thr conditional Lyapunov expon ents. Hence the actual average divergence rate is smaller than the max imum conditional Lyapunov number and thus causes the driven system to synchronize even when the conditional Lyapunov exponents are positive.