| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4610624 | Journal of Differential Equations | 2012 | 21 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
