Asymptotic Behaviour Near a Nonlinear Sink
Classical Analysis and ODEs
2011-07-05 v2 Dynamical Systems
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.
Cite
@article{arxiv.1001.5089,
title = {Asymptotic Behaviour Near a Nonlinear Sink},
author = {Matt S. Calder and David Siegel},
journal= {arXiv preprint arXiv:1001.5089},
year = {2011}
}
Comments
31 pages, 1 figure, condensed or removed some sections and expanded others