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Existence of Canards under Non-generic Conditions |
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| Authors: | Feng XIE and Maoan HAN |
| Institution: | 1. Department of Applied Mathematics, Donghua University, Shanghai 201620, China; Division of Compu-tational Science, E-Institute of Shanghai Universities, Shanghai Jiao Tong University, Shanghai 200030,China. 2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China. |
| Abstract: | The canard phenomenon occurring in planar fast-slow systems under non-generic 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-genericcondition |
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