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34 p, 632.0 KB

Asymptotic Development of an Integral Operator and Boundedness of the Criticality of Potential Centers / Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
We study the asymptotic development at infinity of an integral operator. We use this development to give sufficient conditions to upper bound the number of critical periodic orbits that bifurcate from the outer boundary of the period function of planar potential centers. [...]
2019 - DOI (Digital Object Identifier)

10.1007/s10884-019-09753-2
Journal of dynamics and differential equations, Vol. 32, Issue 2 (June 2020) , p. 665-704

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24 p, 731.8 KB

The period function of Hamiltonian systems with separable variables / Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. School of Mathematical Sciences (China))
In this paper we study the period function of those planar Hamiltonian differential systems for which the Hamiltonian function H(x, y) has separable variables, i. e. , it can be written as H(x, y) = F1(x) + F2(y). [...]
2020 - DOI (Digital Object Identifier)

10.1007/s10884-019-09759-w
Journal of dynamics and differential equations, Vol. 32, Issue 2 (June 2020) , p. 741-767

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