GENERALIZED SYNCHRONIZATION AND PARTIAL SYNCHRONIZATION IN COUPLED MAPS

Chaos synchronization in a coupled system; x(n+1) = f(x(n)) + D-1 (y(n +1) - x(n+1)) + D-2 (z(n+1) - x(n+1)), y(n+1) = f (y(n)) + D-1(x(n+1) - y(n+1)) + D-2(z(n+1) - y(n+1)), z(n+1) = f (z(n)), is investigated. Partial synchronization (x(n) = y(n) not equal z(n)) and generalized s ynchronization x(n) = y(n) = Phi(z(n)) are theoretically and numerical ly studied. The generalized synchronization turns into identical synch ronization (x(n) = y(n) = z(n)) if D-2 exceeds a critical value. A loc king phenomenon and an integral in nonsynchronization are found. (C) 1 998 Elsevier Science B.V.