Stability and Synchronism of certain coupled Dynamical Systems

2005/09/27 by José A. Barrionuevo, Jose A. Barrionuevo, Barrionuevo, Jose A. +2
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #math.DS #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0509048

9 pages

openalex publication_date 2005/09/27 · arxiv created 2006/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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