Sabatini, Marco (2012) The period functions' higher order derivatives. UNSPECIFIED. (Unpublished)
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 period's first derivative \cite{FGG}. 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 O.D.E.'s to be convex.
Item Type: | Departmental Technical Report |
Department or Research center: | Mathematics |
Subjects: | Q Science > QA Mathematics > QA299.6 Analysis |
Uncontrolled Keywords: | Period annulus, period function, normalizer, linearization, hamiltonian system, separable variables. |
Report Number: | UTM 750 |
Repository staff approval on: | 23 Feb 2012 |
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