Calculation of the minimal embedding dimension of a chaotic attractor on the basis of local topological analysis of phase trajectories (Q1974755)
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scientific article; zbMATH DE number 1440469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Calculation of the minimal embedding dimension of a chaotic attractor on the basis of local topological analysis of phase trajectories |
scientific article; zbMATH DE number 1440469 |
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Calculation of the minimal embedding dimension of a chaotic attractor on the basis of local topological analysis of phase trajectories (English)
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19 June 2000
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A method for calculating the minimal embedding dimension \(M_0\) of the chaotic attractor of a nonlinear dynamical system is described. It is shown that the local topological method proposed in this paper can be used to reduce the required amount of experimental data by an order of magnitude, save substantial computing resources, and ensure both rapid numerical convergence and accurate calculation of \(M_0\).
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nonlinear dynamical system
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attractor
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chaos
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embedding dimension
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finite-difference approximation
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