References & Citations
Mathematics > Dynamical Systems
Title: On the integrability of generalized $N$-center problems
(Submitted on 26 Apr 2024)
Abstract: In this paper, we study the rational integrability of the $N$-center problem with rational weak and moderate forces. We show that the problem is not rationally integrable for all but a finite number of values $\alpha\in]0,2[$, where $\alpha$ is the order of the singularities. We identify the remaining cases and give the necessary conditions for integrability.
Submission history
From: Boris Asdrubal Percino Figueroa [view email][v1] Fri, 26 Apr 2024 15:57:37 GMT (397kb)
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