Chen, Yonghong ; Rangarajan, Govindan ; Ding, Mingzhou (2003) General stability analysis of synchronized dynamics in coupled systems Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 67 (2). 026209-026212. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v67/i2/e026209
Related URL: http://dx.doi.org/10.1103/PhysRevE.67.026209
Abstract
We consider the stability of synchronized states (including equilibrium point, periodic orbit, or chaotic attractor) in arbitrarily coupled dynamical systems (maps or ordinary differential equations). We develop a general approach, based on the master stability function and Gershgorin disk theory, to yield constraints on the coupling strengths to ensure the stability of synchronized dynamics. Systems with specific coupling schemes are used as examples to illustrate our general method.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 73214 |
| Deposited On: | 02 Dec 2011 09:47 |
| Last Modified: | 02 Dec 2011 09:47 |
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