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arxiv: nlin/0509048 · v2 · submitted 2005-09-27 · 🌊 nlin.CD · math.DS

Stability and Synchronism of certain coupled Dynamical Systems

classification 🌊 nlin.CD math.DS
keywords coupleddynamicalstabilitysystemsaccomplishedanalysisanalyticalapplications
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We obtain sufficient conditions for the stability of the synchronized solutions for a class of coupled dynamical systems. This is accomplished by finding an analytical expression for the transverse Liapunov exponent through spectral analysis. We then indicate some applications to population dynamics.

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