oscillator with inertial nonlinearity

Influence of Time-delay in the Coupling Channel on the Complete Synchronization of Chaos

In the current work the influence of delay in a coupling channel on the synchronization of regular and chotic oscillations in discrete maps and continuous time systems is studied. It is established that introduction of time delay in a discrete system prevents synchronization of chaos but allows synchronization of periodic and quasiperiodic oscillations. In a continuous time system with chaotic attractor the introduction of a small delay doesn’t make essential changes in its dynamics however the increasing of delay leads to the reverse period doubling cascade.