A CONDITION OF UNIQUENESS AND STABILITY IN ABURSTING MODEL

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2002, v.9 no.1, pp.19-30

Lee, Eui-Woo (Department of Mathematics, Soongsil University)

Lee, Eui-Woo. (2002). A CONDITION OF UNIQUENESS AND STABILITY IN A BURSTING MODEL. 한국수학교육학회지시리즈B:순수및응용수학, 9(1), 19-30.

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Abstract

We consider one class of bursting oscillation models, that is square-wave burster. One of the interesting features of these models is that periodic bursting solution need not to be unique or stable for arbitrarily small values of a singular perturbation parameter <TEX>$\epsilon$</TEX>. Recent results show that the bursting solution is uniquely determined and stable for most of the ranges of the small parameter <TEX>$\epsilon$</TEX>. In this paper, we present a condition of uniqueness and stability of periodic bursting solutions for all sufficiently small values of <TEX>$\epsilon$</TEX> > 0.

keywords: bursting, stability, uniqueness

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논문 상세

Vol.9 No.1

A CONDITION OF UNIQUENESS AND STABILITY IN A BURSTING MODEL

A CONDITION OF UNIQUENESS AND STABILITY IN ABURSTING MODEL

Abstract

한국수학교육학회지시리즈B:순수및응용수학