We demonstrate that for symmetric dynamical systems with an invariant subspace in which there is a chaotic attractor, synchronism between the transverse subsystem and its replica can be achieved in wide parameter regimes. The synchronism occurs in situations where the interaction between the invariant subsystem and the transverse subsystem can be either unidirectional or bidirectional, and the full system can possess more than one positive Lyapunov exponent. The idea is illustrated by a numerical example.
|Number of pages||4|
|Journal||Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - May 1997|
- coupled oscillator-systems
- chaotic systems
- riddled basins
- proportional feedback