On isochronous centers of polynomial quadratic-like Hamiltonian systems - Part 1 [ Back ]

Date:
18.11.13   
Times:
15:30 to 16:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Maite Grau
University:
Universitat de Lleida

Abstract

Isochronous centers of Hamiltonian systems with Hamiltonian $H(x,y)=A(x)+B(x)y+C(x)y^2$ were studied in [A. Cima, F. Mañosas and J. Villadelprat, Isochronicity for several classes of Hamiltonian systems, J. Differential Equations 157 (1999) 373-413]. We focus on the particular case that $A,$ $B$ and $C$ are real polynomials and we pose a conjecture about their particular form in case that the origin is an isochronous center. We can prove this conjecture in some cases. In this talk, we will explain the present state of this work in progress.

This is a joint work with Colin Christopher (Plymouth University) and Jordi Villadelprat (Universitat Rovira i Virgili).