Quasi-periodic oscillations in second-order systems via semilinear elliptic equations.

Joël Blot (1)

1 Marin Mersenne - Pour les Mathématiques, l'Informatique et l'Interdisciplinarité

To find quasi-periodic solutions to forced second-order ordinary differential equations we formulate boundary value problems on degenerate semilinear elliptic second-order partial differential equations. To solve these last problems we use a regularizatiopn method and variational tools. We establish an existence theorem of weak quasi-periodic solutions and a result of density for usual quasi-periodic solutions.

Domaines: Systèmes dynamiques [math.DS]

Joël Blot. Quasi-periodic oscillations in second-order systems via semilinear elliptic equations.. Dynamics of Continuous, Discrete and Impulsive Systems, 2009, DCDIS A Supplement, pp.135-140. ⟨hal-00662537⟩