The persistence of canards in 3-D singularly perturbed systems with two fast variables

Article type: Research Article

Authors: Xie, Feng^{; ;} | Han, Maoan | Zhang, Weijiang^;

Affiliations: Department of Applied Mathematics, Donghua University, Shanghai 201620, P.R. China E-mail: [email protected] | Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, P.R. China | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China | Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, P.R. China

Note: [] Corresponding author.

Abstract: In this paper, a class of three-dimensional singularly perturbed systems of ordinary differential equations with two fast variables are considered. Sufficient conditions for the existence of canards are obtained by asymptotic methods.

Keywords: canards, slow manifolds, singular perturbations

Journal: Asymptotic Analysis, vol. 47, no. 1-2, pp. 95-106, 2006