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A class of generalized phase tracks of canard system is obtained. Firstly, the solutions to the generalized Lienard system are considered. Then the possessed head canard solutions are constructed, and illustrated the examples to construct the canard. Using this same method, we may construct also more extensive canards.
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Keywords:
- phase tracks of canard /
- path curve /
- autonomous system
[1] Callot J L, Diener F, Diener M 1978 C. R. Acaf. Sci. Paris (Ser 1)286 1059
[2] Benoit E, Callot J L, Diener F, Diener M 1981 Collect. Math. 31 37
[3] Li C P 1999 Science in China Ser A 29 1084
[4] Xie F, Han M A, Zhang W J 2006 Asymptotic Anal. 47 95
[5] Xu Y, Zhang J?X, Xu X, Zhou H 2008 Acta Phys. Sin. 57 4029 (in Chinese)[徐云, 张建峡, 徐霞, 周红 2008 物理学报 57 4029]
[6] E, S I, Mimura M, Nagayama M 2006 Discrete Contin. Dyn. Syst. 14 31
[7] Xu Y, Zhang J X, Zu X, Zhou H 2007 Chin. Phys. 16 2285
[8] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[9] Mo J Q 2009 Chin Phys. Lett. 26 060202
[10] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese)[莫嘉琪 2009 物理学报 58 2930]
[11] Mo J Q 2009 Science in China Ser G 39 568
[12] Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese)[莫嘉琪, 林一骅, 林万涛 2009 物理学报 58 6692]
[13] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese)[莫嘉琪, 林一骅, 林万涛 2010 物理学报 59 6701]
[14] Mo J Q 2010 Commun. Theor. Phys. 53 440
[15] Mo J Q 2010 Chin. Phys. B 19 010203
[16] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[17] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese)[莫嘉琪 2011 物理学报 60 020202]
[18] Mo J Q 2011 Acta Phys. Sin. 60 030203 (in Chinese)[莫嘉琪 2011 物理学报 60 020203]
[19] Xie F, Lin W T, Lin Y H, Mo J Q 2010 Chin. Phys. B 19 010208
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[1] Callot J L, Diener F, Diener M 1978 C. R. Acaf. Sci. Paris (Ser 1)286 1059
[2] Benoit E, Callot J L, Diener F, Diener M 1981 Collect. Math. 31 37
[3] Li C P 1999 Science in China Ser A 29 1084
[4] Xie F, Han M A, Zhang W J 2006 Asymptotic Anal. 47 95
[5] Xu Y, Zhang J?X, Xu X, Zhou H 2008 Acta Phys. Sin. 57 4029 (in Chinese)[徐云, 张建峡, 徐霞, 周红 2008 物理学报 57 4029]
[6] E, S I, Mimura M, Nagayama M 2006 Discrete Contin. Dyn. Syst. 14 31
[7] Xu Y, Zhang J X, Zu X, Zhou H 2007 Chin. Phys. 16 2285
[8] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[9] Mo J Q 2009 Chin Phys. Lett. 26 060202
[10] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese)[莫嘉琪 2009 物理学报 58 2930]
[11] Mo J Q 2009 Science in China Ser G 39 568
[12] Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese)[莫嘉琪, 林一骅, 林万涛 2009 物理学报 58 6692]
[13] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese)[莫嘉琪, 林一骅, 林万涛 2010 物理学报 59 6701]
[14] Mo J Q 2010 Commun. Theor. Phys. 53 440
[15] Mo J Q 2010 Chin. Phys. B 19 010203
[16] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[17] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese)[莫嘉琪 2011 物理学报 60 020202]
[18] Mo J Q 2011 Acta Phys. Sin. 60 030203 (in Chinese)[莫嘉琪 2011 物理学报 60 020203]
[19] Xie F, Lin W T, Lin Y H, Mo J Q 2010 Chin. Phys. B 19 010208
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