Periodic, subharmonic, and quasi-periodic oscillations under the action of a central force
| Autor: | Antonio J. Ure, Alessandro Fonda |
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| Přispěvatelé: | Fonda, Alessandro, Urena, A. J. |
| Rok vydání: | 2011 |
| Předmět: |
Physics
Angular momentum Connected space periodic and almost periodic solutions Sublinear function periodic and almost periodic solution Applied Mathematics continuation theorems Zero (complex analysis) Action (physics) Nonlinear system Classical mechanics Planar Central force Discrete Mathematics and Combinatorics Analysis |
| Zdroj: | Discrete & Continuous Dynamical Systems - A. 29:169-192 |
| ISSN: | 1553-5231 |
| Popis: | We consider planar systems driven by a central force which depends periodically on time. If the force is sublinear and attractive, then there is a connected set of subharmonic and quasi-periodic solutions rotating around the origin at different speeds; moreover, this connected set stretches from zero to infinity. The result still holds allowing the force to be attractive only in average provided that an uniformity condition is satisfied and there are no periodic oscillations with zero angular momentum. We provide examples showing that these assumptions cannot be skipped. |
| Databáze: | OpenAIRE |
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