On the existence of Canard solutions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2000 Spain English Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume 44, pages 503-592 (issn: 0214-1493,

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Authors: Panazzolo, D.;

doi: 10.5565/publmat_44200_09

On the existence of Canard solutions

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Abstract

We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.

Country

Spain

Related Organizations

Autonomous University of Barcelona
Spain

Keywords

Perturbations, asymptotics of solutions to ordinary differential equations, Bifurcation theory for ordinary differential equations, desingularization, local canard problem

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