ВИЗНАЧЕННЯ РОЗМІРНОСТІ ВКЛАДЕННЯ ХАОТИЧНИХ АТРАКТОРІВ
The method of solving the problem which is actual for systems with deterministic chaos is proposed. This is the problem of determining embedding dimension using the observed data of one variable. It is supposed that unknown system is autonomous set of ordinary differential equations. The algorithm b...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2007
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| Online Access: | https://jais.net.ua/index.php/files/article/view/342 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | The method of solving the problem which is actual for systems with deterministic chaos is proposed. This is the problem of determining embedding dimension using the observed data of one variable. It is supposed that unknown system is autonomous set of ordinary differential equations. The algorithm based on the analysis of such systems and their attractors was developed in this work. This algorithm allows one to calculate embedding dimension unambiguously. The comparison os this method with well known method using «false nearest neighbors» was done. |
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