Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry

Author:

Guirao Juan L. G.,Llibre Jaume,Vera Juan A.

Funder

MINECO/ FEDER

MINECO

AGAUR

FP7-PEOPLE-2012-IRSES

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference22 articles.

1. Almeida, M., Moreira, I., Santos, F.: On the Ziglin-Yoshida analysis for some classes of homogeneous Hamiltonian systems. Braz. J. Phys. (1998). doi: 10.1590/S0103-97331998000400022

2. Biswas, D., Azam, M., Lawande, Q., Lawande, S.: Existence of stable periodic orbits in the $$x^2 y^2$$ x 2 y 2 potential: a semiclassical approach. J. Phys. A Math. Gen. 25, 297–301 (1992)

3. Caranicolas, N., Varvoglis, H.: Families of periodic orbits in a quartic potential. Astron. Astrophys. 141, 383–388 (1984)

4. Coffey, S.L., Deprit, A., Miller, B.R.: The critical inclination in artificial satellite theory. Celest. Mech. 39, 365–406 (1986)

5. Contopoulos, G., Papadaki, H., Polymilis, C.: The structure of chaos in a potential without escapes. Celest. Mech. Dyn. Astron. 60, 249–271 (1994)

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