Abstract
Effect of noise on synchronization of bidirectionally coupled Ikeda systems is investigated. Sufficient conditions for the complete synchronization are rigorously established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Numerical simulations are provided to illustrate the effectiveness of the theoretical results. The simulation results show that the average error in synchronization exhibits a nonmonotonic behavior with the noise amplitude. Furthermore, the simulation results show that synchronization of identical time-delayed systems subjected to the common noise can be achieved for large enough noise amplitudes.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 30th Chinese Control Conference, CCC 2011 |
| Place of Publication | Piscataway, NJ |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| Pages | 1329-1333 |
| Number of pages | 5 |
| ISBN (Electronic) | 9789881725592 |
| ISBN (Print) | 9781457706776 |
| Publication status | Published - 2011 |
| Event | 30th Chinese Control Conference, CCC 2011 - Yantai, China Duration: 22 Jul 2011 → 24 Jul 2011 |
Other
| Other | 30th Chinese Control Conference, CCC 2011 |
|---|---|
| Country/Territory | China |
| City | Yantai |
| Period | 22/07/11 → 24/07/11 |
Keywords
- Chaos
- Noise
- Synchronization
- Time-delay
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