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1.
18 p, 607.8 KB Abelian integrals and non-generic turning points / Huzak, Renato (Hasselt University (Belgium)) ; Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. [...]
2022 - 10.1007/s12346-022-00609-7
Qualitative theory of dynamical systems, Vol. 21, Issue 3 (September 2022) , art. 77
2 documents
2.
22 p, 816.7 KB Period function of planar turning points / Huzak, Renato (Hasselt University. Campus Diepenbeek (Belgium)) ; Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
This paper is devoted to the study of the period function of planar generic and non-generic turning points. In the generic case (resp. non-generic) a non-degenerate (resp. degenerate) center disappears in the limit ɛ → 0, where ɛ ≥ 0 is the singular perturbation parameter. [...]
2021 - 10.14232/ejqtde.2021.1.16
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 16 (2021) , p. 1-21
2 documents

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