General Stability Analysis of Synchronized Dynamics in Coupled Systems

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.

8 pages, 1 figure

References in corpus (4)

• Synchronization in small-world systems
• Stability of Synchronized Chaos in Coupled Dynamical Systems
• Designing coupling that guarantees synchronization between identical chaotic systems
• Synchronisation in Coupled Sine Circle Maps

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