Talk 1

Title:  Deformations of Hamiltonians and Limit Cycles

Speaker:  Ronaldo Garcia

Affiliation:  Universidade Federal de Goiás (UFG)

Abstract:  In this talk, it will be considered the deformations of Hamiltonian systems, and the average theory will be applied to show the existence of isolated periodic orbits (limit cycles). Special attention will be paid to the coupled harmonic oscillators. In addition, some applications to the principal curvature lines will be explored.