Chapter

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

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Abstract

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.