SYNCHRONISM IN SYMMETRICAL HYPERCHAOTIC SYSTEMS

We demonstrate that for symmetric dynamical systems with an invariant subspace in which there is a chaotic attractor, synchronism between th e transverse subsystem and its replica can be achieved in wide paramet er regimes. The synchronism occurs in situations where the interaction between the invariant subsystem and the transverse subsystem can be e ither unidirectional or bidirectional, and the full system can possess more than one positive Lyapunov exponent. The idea is illustrated by a numerical example.