Nonlinear Analysis and its Applications to Differential Equations

Volume 43 of the series Progress in Nonlinear Differential Equations and Their Applications pp 85-112

Twist Mappings, Invariant Curves and Periodic Differential Equations

  • Rafael OrtegaAffiliated withDepartamento de Matemática Aplicada, Facultad de Ciencias Universidad de Granada


Let us consider the periodic differential system in the plane, whereXsatisfies. In this course we will study the quasi-periodic solutions of this equation and we will show that these solutions play an important role in the study of the dynamics when the equation has a hamiltonian structure.