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| Existence of Canards under Non-generic Conditions |
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Citation： |
Feng XIE,Maoan HAN.Existence of Canards under Non-generic Conditions[J].Chinese Annals of Mathematics B,2009,30(3):239~250 |
| Page view： 1746
Net amount： 1354 |
Authors： |
Feng XIE; Maoan HAN; |
Foundation： |
the National Natural Science Foundation of China (No. 10701023) and the E-
Institutes of Shanghai Municipal Education Commission (No. N.E03004). |
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| 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 |
Classification： |
34C23, 34C37, 34E15 |
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