Bifurcations of Liouville tori of a two fixed center problem
El-Sabaa, FM; Hosny M.; Zakria, SK;
Abstract
A complete description of the real phase topology of a two fixed center problem is introduced and studied. Moreover, all generic bifurcations of Liouville tori are determined theoretically and the periodic solution is presented. At the end of this paper, the phase portrait is studied.
Other data
| Title | Bifurcations of Liouville tori of a two fixed center problem | Authors | El-Sabaa, FM; Hosny M. ; Zakria, SK | Keywords | Hamilton-Jacobi's equations;Bifurcations of Liouville tori;Topology of the level sets;Momentum maps;Periodic solution;Elliptic functions;Phase portrait;GENERALIZED PROBLEM;INTEGRABLE SYSTEMS;SPHERE;MOTION | Issue Date | 28-Mar-2018 | Publisher | SPRINGER | Journal | Astrophysics and Space Science | Volume | 363 | ISSN | 0004-640X | DOI | 10.1007/s10509-018-3297-y | Scopus ID | 2-s2.0-85044513618 | Web of science ID | WOS:000429130000017 |
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| File | Description | Size | Format | Existing users please Login |
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| El-Sabaa2018_Article_BifurcationsOfLiouvilleToriOfA.pdf | 2.89 MB | Adobe PDF | Request a copy |
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