Topological-numerical approach to the existence of periodic trajectories in ODE's (Q1422582)
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scientific article; zbMATH DE number 2046244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological-numerical approach to the existence of periodic trajectories in ODE's |
scientific article; zbMATH DE number 2046244 |
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Topological-numerical approach to the existence of periodic trajectories in ODE's (English)
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23 February 2004
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The author presents a topological method for detecting periodic trajectories in dynamical systems generated by autonomous ODEs. The method is based on the Conley index theory. The computer assisted proof of the existence of periodic orbits in the Rössler system is described in detail.
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Conley index
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periodic orbit
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Rössler equations
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isolating neighborhood
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algorithm
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