Remarks on homoclinic structure in Bogdanov-Takens map-Reference-Cited by-同舟云学术

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Remarks on homoclinic structure in Bogdanov-Takens map

Published:2017-05-25 Issue:4 Volume:24 Page:575-587
ISSN:1023-6198
Container-title:Journal of Difference Equations and Applications
language:en
Short-container-title:Journal of Difference Equations and Applications

Author:

Al-Hdaibat B.¹,Govaerts W.²,van Kekem D. L.³,Kuznetsov Yu. A.⁴⁵

Affiliation:

1. Department of Mathematics, Hashemite University, Zarqa, Jordan.

2. Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent, Belgium.

3. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands.

4. Department of Mathematics, Utrecht University, Utrecht, The Netherlands.

5. Department of Applied Mathematics, University of Twente, Enschede, The Netherlands.

Publisher

Informa UK Limited

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/10236198.2017.1329894

Reference19 articles.

1. Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method

2. Geometrical Methods in the Theory of Ordinary Differential Equations

3. THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM

4. Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point

5. NUMERICAL ANALYSIS OF DEGENERATE CONNECTING ORBITS FOR MAPS

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