Existence of Canards under Non-generic Conditions  

作　　者：Feng XIE Maoan HAN 

机构地区：[1]Department of Applied Mathematics, Donghua University, Shanghai 201620, China Division of Computational Science, E-Institute of Shanghai Universities, Shanghai Jiao Tong University, Shanghai 200030China [2]Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

出　　处：《Chinese Annals of Mathematics,Series B》2009年第3期239-250,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10701023);the E-Institutes of Shanghai Municipal Education Commission (No. N.E03004).

摘　　要：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.

关 键 词：CANARD Slow manifold Singular perturbation BLOW-UP Non-genericcondition 

分 类 号：O175.8[理学—数学] U463[理学—基础数学]