Non-collision periodic solutions of second order singular dynamical systems (Q929569)
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scientific article; zbMATH DE number 5289195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-collision periodic solutions of second order singular dynamical systems |
scientific article; zbMATH DE number 5289195 |
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Non-collision periodic solutions of second order singular dynamical systems (English)
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17 June 2008
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The authors consider second order systems of ODEs with a singularity. By the use of a fixed point theorem in a cone, they are able to prove the existence of a periodic solution, both in the attractive and in the repulsive cases. They do not need the so-called ``strong force condition''. However, their result does not cover the case of a Keplerian-like system.
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non-collision periodic solutions
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fixed point theorem in cones
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