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arXiv · 1001.5089

Asymptotic Behaviour Near a Nonlinear Sink

Matt S. Calder·David Siegel
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Abstract

In this paper, we will develop an iterative procedure to determine the detailed asymptotic behaviour of solutions of a certain class of nonlinear vector differential equations which approach a nonlinear sink as time tends to infinity. This procedure is indifferent to resonance in the eigenvalues. Moreover, we will address the writing of one component of a solution in terms of the other in the case of a planar system. Examples will be given, notably the Michaelis-Menten mechanism of enzyme kinetics.

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Matt S. Calder, David Siegel. 2011-07-04. Asymptotic Behaviour Near a Nonlinear Sink. https://arxiv.org/abs/1001.5089

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