PERIODIC LOCKING IN HETEROCHAOTIC SYSTEMS

Different particular chaotic systems with Lyapunov exponents in the fo rm(+, 0, -) can be coupled in a way so that the expanding in phase spa ce of each system will be canceled by the other and the coupled system will fall into a stable limit cycle with Lyapunov exponents in the fo rm (0, -, -, -, -, -). After coupling, the two different initially cha otic oscillating systems will be locked on two different per;odic orbi ts, respectively. Chaos present in each system is thus suppressed. We show numerically the existence of this periodic locking in the couplin g of Lorenz and Rossler systems.