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- Title
Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity.
- Authors
Li, Shengjun; Zhu, Yuming
- Abstract
We study planar radially symmetric Keplerian-like systems with repulsive singularities near the origin and with some semilinear growth near infinity. By the use of topological degree theory, we prove the existence of two distinct families of periodic orbits; one rotates around the origin with small angular momentum, and the other one rotates around the origin with both large angular momentum and large amplitude.
- Subjects
COMBINATORIAL dynamics; SEMILINEAR elliptic equations; KEPLER'S equation; TOPOLOGICAL degree; ANGULAR momentum (Mechanics)
- Publication
Journal of Function Spaces, 2016, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2016/7134135