Perturbed Keplerian Hamiltonian Systems
This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show that noncollision periodic solutions of such pe...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2023/3575701 |
| _version_ | 1797945514465951744 |
|---|---|
| author | Riadh Chteoui |
| author_facet | Riadh Chteoui |
| author_sort | Riadh Chteoui |
| collection | DOAJ |
| description | This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show that noncollision periodic solutions of such perturbed system bifurcate from the manifold of circular solutions for the Keplerian Hamiltonian system. |
| first_indexed | 2024-04-10T20:56:19Z |
| format | Article |
| id | doaj.art-14f0ece930954c3a8936db61e35f1c20 |
| institution | Directory Open Access Journal |
| issn | 1687-9651 |
| language | English |
| last_indexed | 2024-04-10T20:56:19Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj.art-14f0ece930954c3a8936db61e35f1c202023-01-23T00:56:20ZengHindawi LimitedInternational Journal of Differential Equations1687-96512023-01-01202310.1155/2023/3575701Perturbed Keplerian Hamiltonian SystemsRiadh Chteoui0Laboratory of Algebra, Number Theory and Nonlinear AnalysisThis paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show that noncollision periodic solutions of such perturbed system bifurcate from the manifold of circular solutions for the Keplerian Hamiltonian system.http://dx.doi.org/10.1155/2023/3575701 |
| spellingShingle | Riadh Chteoui Perturbed Keplerian Hamiltonian Systems International Journal of Differential Equations |
| title | Perturbed Keplerian Hamiltonian Systems |
| title_full | Perturbed Keplerian Hamiltonian Systems |
| title_fullStr | Perturbed Keplerian Hamiltonian Systems |
| title_full_unstemmed | Perturbed Keplerian Hamiltonian Systems |
| title_short | Perturbed Keplerian Hamiltonian Systems |
| title_sort | perturbed keplerian hamiltonian systems |
| url | http://dx.doi.org/10.1155/2023/3575701 |
| work_keys_str_mv | AT riadhchteoui perturbedkeplerianhamiltoniansystems |