Options
Dr. Vidarte-Olivera, Jhon
Nombre de publicaciĂ³n
Dr. Vidarte-Olivera, Jhon
Nombre completo
Vidarte Olivera, Jhon Edder
Facultad
Email
jhon.vidarte@ucsc.cl
ORCID
1 results
Research Outputs
Now showing 1 - 1 of 1
No Thumbnail Available
Publication
Periodic orbits in a Hamiltonian system of stellar type
2024, Dr. Vidarte-Olivera, Jhon, Vera-DamiĂ¡n, Yrina, Gonzales, Walter
We investigate the existence of periodic orbits in a perturbed Hamiltonian system of stellar type in 1:1 resonance. The perturbation consists of a potential of degree four with two real parameters. We determine six families of periodic orbits using reduction and averaging theories. Also, we characterize the stability of these orbits and their bifurcation curves in terms of the parameters. Finally, we show a complete picture of the choreographies of critical points originating the periodic orbits.