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Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation

Autor
Guardia, M.; Martinez-seara, Tere
Tipus d'activitat
Document cientificotècnic
Data
2011-07
Repositori
http://hdl.handle.net/2117/15064 Obrir en finestra nova
URL
http://www.ma1.upc.edu/recerca/preprints/2011/ Obrir en finestra nova
Resum
In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromorphic in the state variables perturbation. The obtained results are different from the previous ones in the literature, which mainly assume algebraic or trigonometric polynomial dependence on the state variables. As a model, we consider the pendulum equation with several meromorphic perturbations and we show ...
Citació
Guardia, M.; Martínez-Seara, M. "Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation". 2011.
Grup de recerca
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
SD - Sistemes Dinàmics

Arxius