Basins of attraction of invariant regular manifolds

Annibal Figueiredo and Tarcisio M. Rocha Filho

Chaos, Solitons & Fractals, 2009, vol. 40, issue 4, 1877-1889

Abstract: In this work, we present a new approach for the determination of the stability properties of regular invariant surfaces in the phase space of a system of ordinary differential equations. This approach also yields an estimation for basin of attraction of the invariant surface. The stability problem is reduced to the study of a system of non-autonomous linear differential equations and the use of the Wasewski’s inequalities. We illustrate our method for a system of equations describing the generalized mass action (GMA) model for biochemical reactions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:4:p:1877-1889

DOI: 10.1016/j.chaos.2007.09.070

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