Generating and enhancing lag synchronization of chaotic systems by white noise
- In this paper, we study the crucial impact of white noise on lag synchronous regime in a pair of time-delay unidirectionally coupled systems. Our result demonstrates that merely via white-noise-based coupling lag synchronization could be achieved between the coupled systems (chaotic or not). And it is also demonstrated that a conventional lag synchronous regime can be enhanced by white noise. Sufficient conditions are further proved mathematically for noise-inducing and noise-enhancing lag synchronization, respectively. Additionally, the influence of parameter mismatch on the proposed lag synchronous regime is studied, by which we announce the robustness and validity of the new strategy. Two numerical examples are provided to illustrate the validity and some possible applications of the theoretical result.
| Author details: | Zhongkui Sun, Xiaoli Yang |
|---|---|
| DOI: | https://doi.org/10.1063/1.3623440 |
| ISSN: | 1054-1500 |
| ISSN: | 1089-7682 |
| Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
| Publisher: | American Institute of Physics |
| Place of publishing: | Melville |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Volume: | 21 |
| Issue: | 3 |
| Number of pages: | 10 |
| Funding institution: | National Natural Science Foundation of China (NSFC) [10902085, 10902062]; NSF of Shaanxi Province [2009JQ1002]; NPU Foundation for Fundamental Research [JC20100240, JC201018] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
