Generalized synchronization of chaos: The auxiliary system approach
- 1 May 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (5), 4528-4535
- https://doi.org/10.1103/physreve.53.4528
Abstract
Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than identical chaotic oscillations in coupled systems. It may imply a more complicated connection between the synchronized trajectories in the state spaces of coupled systems. We suggest a method here that can be used to detect and study generalized synchronization in drive-response systems. This technique, the auxiliary system method, utilizes a second, identical response system to monitor the synchronized motions. The method can be implemented both numerically and experimentally and in some cases it leads to analytical results for generalized synchronization.Keywords
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