Existence of periodic orbits for high-dimensional autonomous systems (Q1046494)
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scientific article; zbMATH DE number 5651199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of periodic orbits for high-dimensional autonomous systems |
scientific article; zbMATH DE number 5651199 |
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Existence of periodic orbits for high-dimensional autonomous systems (English)
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22 December 2009
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The paper is devoted to the investigation of autonomous differential systems with arbitrarily finite dimension. Applying an extension of the Poincaré-Bendixson theorem, the author proves the existence of periodic orbits for such systems. Moreover, the application to a scalar fourth-order differential equation is considered.
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autonomous systems
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periodic orbits
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Poincaré-Bendixson property
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0.9336645
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0.9043286
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0.9039856
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0.89452726
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