Riddled basins and other practical problems in coupled synchronized chaotic circuits

Louis M. Pecora; Thomas L. Carroll; James F. Heagy

doi:10.1117/12.227902

1 December 1995 Riddled basins and other practical problems in coupled synchronized chaotic circuits

Louis M. Pecora, Thomas L. Carroll, James F. Heagy

Proceedings Volume 2612, Chaotic Circuits for Communication; (1995) https://doi.org/10.1117/12.227902
Event: Photonics East '95, 1995, Philadelphia, PA, United States

Abstract

We investigate a number of phenomena which occur in synchronization in coupled or driven chaotic systems and which can cause difficulties in attaining synchronized states. We present direct experimental and numerical evidence for riddled basins of attraction, bursting phenomena, short wavelength bifurcations and size desynchronization effects. We show that typical Lyapunov stability exponents are not the optimal guide in designing such systems.

Citation Download Citation

Louis M. Pecora, Thomas L. Carroll, and James F. Heagy "Riddled basins and other practical problems in coupled synchronized chaotic circuits", Proc. SPIE 2612, Chaotic Circuits for Communication, (1 December 1995); https://doi.org/10.1117/12.227902

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