Periodic solution and global structure of Oregonator
type: Item
instance of: scholarly article
title: Periodic solution and global structure of Oregonator
zbMATH Open document ID: 0956.34025
DOI: 10.1016/S0960-0779(99)00025-9
author: Zuohuan Zheng
author: Tianshou Zhou
author: Zifan Zhang
author: Suochun Zhang
published in: Chaos, Solitons and Fractals
publication date: 2001-02-26T00:00:00Z
review text: Consider the two-differential system \[ \varepsilon dx/dt =x(1-x)-fz(x-\mu)/(x+\mu), \quad dz/dt = x-z, \tag \(*\) \] as an approximation to the Oregonator. The authors derive conditions for the nonexistence of periodic solutions, for the existence of heteroclinic orbits and study the global behavior of \((*)\).
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92C40
zbMATH DE Number: 1507117
zbMATH Keywords: nonexistence of periodic solutions
zbMATH Keywords: heteroclinic orbits
zbMATH Keywords: global behavior
MaRDI profile type: Publication
cites work: Oregonator: General results of positive steady state and its stability
cites work: The existence of trajectories joining critical points
cites work: Q4392094
full work available at URL: s0960-0779(99)00025-9
OpenAlex ID: W2037768854
description: scientific article; zbMATH DE number 1507117