Some criteria for dynamical systems to be nonchaotic (Q2770588)
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scientific article; zbMATH DE number 1703973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some criteria for dynamical systems to be nonchaotic |
scientific article; zbMATH DE number 1703973 |
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13 February 2002
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dynamical systems
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nonchaotic
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Some criteria for dynamical systems to be nonchaotic (English)
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First, the author examines some elementary properties of chaotic dynamical systems described by autonomous ODE, which are useful in establishing conditions for nonchaotic behavior in a dynamical system (Theorems 2.1 and 2.2). Next, he presents some criteria to determine the nonchaoticity of three-dimensional dynamical systems described by ODE (Theorems 3.1, 3.2 and 3.3) and applies them to some specific systems.
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