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General Stability Analysis of Synchronized Dynamics in Coupled Systems | | Yonghong Chen
; Govindan Rangarajan
; Mingzhou Ding
; | | Date: |
27 Dec 2002 | | Journal: | Physical Review E, vol. 67, 026209 (2003) | | Subject: | Chaotic Dynamics | nlin.CD | | 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 disc 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. | | Source: | arXiv, nlin.CD/0212051 | | Other source: | [GID 41817] pmid12636778 | | Services: | Forum | Review | PDF | Favorites | |
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