Existence of canards under non-generic conditions

Abstract

The canard phenomenon occurring in planar fast-slow systems under nongeneric conditions is investigated. When the critical manifold has a non-generic fold point, by using the method of asymptotic analysis combined with the recently developed blow-up technique, the existence of a canard is established and the asymptotic expansion of the parameter for which a canard exists is obtained.

Keywords

Canard / Slow manifold / Singular perturbation / Blow-up / Non-generic condition

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