Existence of Canards under Non-generic Conditions

作     者：Feng XIE Maoan HAN 

作者机构：Department of Applied Mathematics Donghua University Shanghai 201620 China Division of Computational Science E-Institute of Shanghai Universities Shanghai Jiao Tong University Shanghai 200030China Department of Mathematics Shanghai Normal University Shanghai 200234 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2009年第30卷第3期

页      面：239-250页

核心收录：

学科分类：07[理学] 082304[工学-载运工具运用工程] 08[工学] 070104[理学-应用数学] 080204[工学-车辆工程] 0802[工学-机械工程] 0701[理学-数学] 0823[工学-交通运输工程] 

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

主　　题：Canard Slow manifold Singular perturbation Blow-up Non-genericcondition 

摘      要：The canard phenomenon occurring in planar fast-slow systems under non-generic conditions is *** 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.