Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory

Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory

We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. The Hamiltonian system...

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Veröffentlicht in:Astrophysics and space science 2016-10, Vol.361 (10), p.1-16, Article 340
Hauptverfasser: Lembarki, Fatima Ezzahra, Llibre, Jaume
Format: Artikel
Sprache:eng
Schlagworte:
Astrobiology
Astronomy
Astrophysics
Astrophysics and Astroparticles
Cosmology
Dynamic tests
Dynamical systems
Dynamics
Energy levels
Mathematical analysis
Observations and Techniques
Orbits
Original Article
Oscillators
Physics
Physics and Astronomy
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Stars & galaxies
Systems analysis
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Zusammenfassung:We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. The Hamiltonian system here studied comes either from the analysis of the galactic dynamics, or from the motion of the atomic particles in physics.
ISSN:0004-640X
1572-946X
DOI:10.1007/s10509-016-2930-x