Heteroclinic connections in singularly perturbed systems

被引：0
|
作者：
Battelli, Flaviano [1 ]
Palmer, Ken [2 ]
机构：
[1] Univ Ancona, Fac Ingn, Dipartimento Sci Matemat, I-60100 Ancona, Italy
[2] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2008年 / 9卷 / 3-4期
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a singularly perturbed system with two normally hyperbolic centre manifolds. We derive one bifurfation function, the zeros of which corrspond to heteroclinic connections near such a connection for the unperturbed system, and a second bifurcation function the zeros of which correspond to the vectors in the intersection of the tangent spaces to the centre unstable and centre-stable manifolds along the heteroclinic connections.
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页码：431 / 461
页数：31
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