3 papers
math.DS2023
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach
P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz +1
In this work we explain the relevance of the Differential Galois Theory in the semiclassical (or WKB) quantification of some two degree of freedom potentials. The key point is that…
math.DS2014
Limit cycles bifurcating from a degenerate center
J. Llibre, C. Pantazi
We study the maximum number of limit cycles that can bifurcate from a degenerate center of a cubic homogeneous polynomial differential system. Using the averaging method of second…
math-ph2012
The Picard Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system
Yuri Fedorov, Chara Pantazi
We consider a family of genus 2 hyperelliptic curves of even order and obtain explicitly the system of 5 linear ODEs for periods of the corresponding Abelian integrals of first, se…