Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals
Figueras, Jordi-Lluís (Uppsala University. Department of Mathematics)
Tucker, Warwick (Uppsala University. Department of Mathematics)
Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)

Date:	2013
Abstract:	We develop techniques for the verification of the Chebyshev property of Abelian integrals. These techniques are a combination of theoretical results, analysis of asymptotic behavior of Wronskians, and rigorous computations based on interval arithmetic. We apply this approach to tackle a conjecture formulated by Dumortier and Roussarie in [Birth of canard cycles, Discrete Contin. Dyn. Syst. 2 (2009), 723-781], which we are able to prove for q < 2.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Journal of differential equations, Vol. 254 (2013) , p. 2647-3663, ISSN 1090-2732

DOI: 10.1016/j.jde.2013.01.036

Postprint 16 p, 426.9 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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