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• W2081600801 abstract "We prove a formula for the n-th derivative of the period function T in a period annulus of a planar differential system. For n=1, we obtain Freire, Gasull and Guillamon formula for the periodʼs first derivative (Chicone and Dumortier, 1993) [17]. We apply such a result to Hamiltonian systems with separable variables and other systems. We give some sufficient conditions for the period function of conservative second order ODEʼs to be convex." @default.
• W2081600801 created "2016-06-24" @default.
• W2081600801 creator A5007751664 @default.
• W2081600801 date "2012-11-01" @default.
• W2081600801 modified "2023-09-26" @default.
• W2081600801 title "The period functionsʼ higher order derivatives" @default.
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• W2081600801 doi "https://doi.org/10.1016/j.jde.2012.07.013" @default.
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