Indexed on: 20 Jul '01Published on: 20 Jul '01Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
The practical applications of self-synchronizing chaotic systems are greatly limited by their sensitivity to noise. Even small amounts of noise added to the synchronizing signal can degrade synchronization to the point where information encoded on the chaotic signal can't be recovered. In this paper, I show that it is possible to build chaotic circuits that operate on two different time scales. The separation of time scales allows the low frequency part of the circuit to average out noise added to the synchronizing signal. Adjusting the relative time scales of the two parts of the circuit allow one to make the synchronization error arbitrarily close to the error caused by circuit mismatch for any amount of added noise.