High-Order Analysis of Canard Explosion in the Brusselator Equations-Reference-Cited by-同舟云学术

High-Order Analysis of Canard Explosion in the Brusselator Equations

Published:2020-04 Issue:05 Volume:30 Page:2050078
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Qin Bo-Wei¹,Chung Kwok-Wai²,Algaba Antonio³,Rodríguez-Luis Alejandro J.⁴

Affiliation:

1. School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China

2. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong

3. Departamento de Ciencias Integradas, Centro de Investigación de Física Teórica y Matemática FIMAT, Universidad de Huelva, 21071 Huelva, Spain

4. Departamento de Matemática Aplicada II, E.T.S. Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain

Abstract

The aim of this paper is to obtain a high-order approximation of the canard explosion in the Brusselator equations. This classical chemical system has been extensively studied but, until now, only first-order approximation to the canard explosion has been provided. Here, with the help of the nonlinear time transformation method, we are able to obtain an approximation to any desired order. Our results strongly agree with those obtained by numerical continuation.

Funder

Ministerio de Economia y Competitividad

Ministerio de Ciencia, Innovacion y Universidades

Consejeria de Economia Innovacion, Ciencia y Empleo de la Junta de Andalucia

Strategic Research Grant of the City University of Hong Kong

Shanghai Municipal Human Resources and Social Security Bureau

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420500789