Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems

• Published in: Nonlinearity Vol. 30; no. 8; pp. 3151 - 3202
• Main Authors: Calleja, Renato C, Celletti, Alessandra, de la Llave, Rafael
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.08.2017
• Subjects: dissipative systems; domains of analyticity; KAM theory

Conformally symplectic systems are characterized by the property that they transform a symplectic form into a multiple of itself. The limit of small dissipation, which is the object of the present study, is particularly interesting. We consider a family of conformally symplectic maps fμ,ε (very simp...