General stability analysis of synchronized dynamics in coupled systems

Chen, Yonghong and Rangarajan, Govindan and Ding, Mingzhou (2003) General stability analysis of synchronized dynamics in coupled systems. In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 67 (2). 26209-1-4.

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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 Gershgo¨rin 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:	Journal Article
Publication:	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Publisher:	American Physical Society (APS)
Additional Information:	The DOI is currently only displayed. Copyright for this article belongs to American Physical Society (APS)
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	14 Jun 2004
Last Modified:	19 Sep 2010 04:12
URI:	http://eprints.iisc.ac.in/id/eprint/394

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