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• W2946718493 abstract "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 $$H(x,y)=F_1(x)+F_2(y)$$. More concretely we are concerned with the search of sufficient conditions implying the monotonicity of the period function, i.e., the absence of critical periodic orbits. We are also interested in the uniqueness problem and in this respect we seek conditions implying that there exists at most one critical periodic orbit. We obtain in a unified way several sufficient conditions that already appear in the literature, together with some other results that to the best of our knowledge are new. Finally we also investigate the limit of the period function as the periodic orbits tend to the boundary of the period annulus of the center." @default.
• W2946718493 created "2019-05-29" @default.
• W2946718493 creator A5031804038 @default.
• W2946718493 creator A5060001114 @default.
• W2946718493 date "2019-05-18" @default.
• W2946718493 modified "2023-10-14" @default.
• W2946718493 title "The Period Function of Hamiltonian Systems with Separable Variables" @default.
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• W2946718493 doi "https://doi.org/10.1007/s10884-019-09759-w" @default.
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