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Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems

We consider a singularly perturbed system depending on two parameters with two (possibly the same) normally hyperbolic center manifolds. We assume that the unperturbed system has an orbit that connects a hyperbolic fixed point on one center manifold to a hyperbolic fixed point on the other. Then we...

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Bibliographic Details
Date:	2008
Main Authors:	Battelli, F., Palmer, K. J., Баттеллі, Ф., Палмер, К. Дж.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3135
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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