Skip to Main content Skip to Navigation
Journal articles

Canard solutions and bifurcations in smooth models of plane structure variable systems

Abstract : Systems that operate in different modes with quick transition are usually studied through discontinuous systems. We give a model of a smoothing of the transition between two vector fields along a separation line, allowing perturbations of the vector fields and of the separation line. In this model there appears a canard phenomenon in certain macroscopically indeterminate situations. This phenomenon gives a new point of view on some situations usually studied through discontinuous bifurcations. We also study the dynamics near the transition line through an associated slow-fast system and compare the slow dynamics with the classical theory, namely, sliding mode dynamics in variable structure systems and equivalent control.
Document type :
Journal articles
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Tuesday, February 23, 2016 - 11:13:13 AM
Last modification on : Wednesday, October 30, 2019 - 4:34:07 PM
Long-term archiving on: : Tuesday, May 24, 2016 - 11:57:36 AM


Explicit agreement for this submission




Luis Gonzaga Albuquerque. Canard solutions and bifurcations in smooth models of plane structure variable systems. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008, pp.469-485. ⟨10.46298/arima.1915⟩. ⟨hal-01277787⟩



Record views


Files downloads