Rangarajan, Govindan ; Ding, Mingzhou (2002) Stability of synchronized chaos in coupled dynamical systems Physics Letters A, 296 (4-5). pp. 204-209. ISSN 0375-9601
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0375-9601(02)00051-8
Abstract
We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on coupling strengths which ensure the stability of synchronized chaos. Previous results in this area involving particular coupling schemes (e.g., global coupling and nearest neighbor diffusive coupling) are included as special cases of the present work.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 73211 |
| Deposited On: | 02 Dec 2011 09:47 |
| Last Modified: | 02 Dec 2011 09:47 |
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