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Points tournants dégénérés

Abstract : The aim of this work is the study of degenerate turning points. We are interested in singularly perturbed real differential equations of the first order, with a real parameter, allowing this kind of singularity. Assuming hypothesis that place ourselves in the case of apparition of "true canard" solutions, we will give a simplified form for those equations, that will be called adapted.
Then, we will be interested in the study of the existence of canard solutions in a general class of equations of this kind. Finally, we will propose an asymptotic study of such solutions. More particulary, we will be concerned with the existence of asymptotic expansion in the power of the perturbation parameter for canard solutions. We will implementate a general formal correspondence that will be used in this goal.
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Contributor : Thomas Forget <>
Submitted on : Tuesday, March 18, 2008 - 4:35:29 PM
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  • HAL Id : tel-00145063, version 2



Thomas Forget. Points tournants dégénérés. Mathématiques [math]. Université de La Rochelle, 2007. Français. ⟨tel-00145063v2⟩



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