Periodic orbits of the generalized Friedmann-Robertson-Walker potential in galactic dynamics in a rotating reference frame
Source abstract
Abstract
In this work, we study analytically the existence of periodic solution for Friedmann- Robertson-Walker Hamiltonian systems in a rotating frame using average theory of first order. The stability of these periodic solutions is investigated. Moreover, the Friedmann-Robertson-Walker Hamiltonian systems in a rotating frame is proved to be non-integrable.
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Research context
OpenAlex topics: Quantum chaos and dynamical systems · Nonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems
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Affiliations
King Abdulaziz University 1 Mathematics Department, Faculty of Science, , P. O. Box 80203, Jeddah 21589, Saudi Arabia
Mansoura University 2 Department of Mathematics, Faculty of Science, , Mansoura 35516, Egypt
King Faisal University 3 Department of Mathematics and Statistics, Faculty of Science, , P. O. Box 400, Al-Ahsaa 31982, Saudi Arabia
References (22)
Show source-provided references
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