Invariant Tori Fulfilled of Periodic Orbits for 4-Dimensional C$^2$ Differential Systems in Presence of Resonance

Número: 
6
Ano: 
2009
Autor: 
Jaume LLibre
Ana Cristina Mereu
Marco A. Teixeira
Abstract: 

We provide an algorithm for studying invariant tori fulfilled of periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in $p:q$ resonance.We illustrate the algorithm with an application.

Keywords: 
periodic orbit
center
resonance
invariant tori
averaging theory
Mathematics Subject Classification 2000 (MSC 2000): 
34C29; 34C25; 47H11;
Arquivo: 
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