Bifurcations of Liouville tori of generalized two-fixed center problem
Keywords:
generalized two-fixed center, Hamilton-Jacobi’s equations, bifurcations of Liouville tori, topology of the level sets, momentum maps, periodic solution, elliptic functions, phase portraitAbstract
We study the topological type of the level sets of generalized two-fixed center problem. Furthermore, all generic bifurcation of the level sets are presented. We determine the families of periodic solutions by giving the solution in terms of Jacobi’s elliptic functions. Finally, the phase portrait is studied, and the singular points are classified.
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Published
2020-02-14
How to Cite
El-Sabaa, F., Hosny, M., & Zakria, S. (2020). Bifurcations of Liouville tori of generalized two-fixed center problem. Italian Journal of Pure and Applied Mathematics, 43, 331–352. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7336
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Section
Articoli - Forum Editrice
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Copyright (c) 2020 F.M. El-Sabaa, M. Hosny, S.K. Zakria
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
