Generalized synchronization of chaos in electronic circuit experiments

✍ Scribed by A. Kittel; J. Parisi; K. Pyragas

• Book ID: 104297318
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 752 KB
• Volume: 112
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00186-3

✦ Synopsis

Two examples of one-way coupled electronic circuits displaying generalized synchronization of chaos are considered. In one of them, the dynamics of both the response and the driving systems represent a double-scroll chaos oscillator. In another example, the double-scroll oscillator is driven by an electronic analog of the Mackey-Glass system. To detect the generalized synchronization, an auxiliary response system that is a replica of the original one is used. In these systems, we have discovered two types of generalized synchronization, namely, a strong and a weak synchronization, which correspond to the existence of a smooth and a nonsmooth map from the trajectories of the driving attractor to the trajectories of the response system, respectively.