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Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field

Autor
Olle, M.; Pacha, Juan R
Tipus d'activitat
Article en revista
Revista
Communications in nonlinear science and numerical simulation
Data de publicació
2018-09-01
Volum
62
Pàgina inicial
27
Pàgina final
60
DOI
https://doi.org/10.1016/j.cnsns.2018.02.005 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/118546 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/pii/S1007570418300418 Obrir en finestra nova
Resum
We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a Hamiltonian depending on one parameter, K¿>¿0. The corresponding Hamiltonian system of ODE has two equilibrium points L1 (unstable for all K and energy value h(L1)) and L2 (a center for K¿<¿Kcrit and a complex saddle for K¿>¿Kcrit, with energy value h(L2)). We study the Hamiltonian-Hopf bifurcation phenomena that take place for K close to Kcrit around L2. First, a local analysis bas...
Paraules clau
Chaotic regions, Hamiltonian dynamical systems, Hopf bifurcation, Invariant manifolds, Periodic orbits and tori
Grup de recerca
SD - Sistemes Dinàmics de la UPC

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