Elegant chaos in fractional-order system without equilibria (Q459837)
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scientific article; zbMATH DE number 6354259
| Language | Label | Description | Also known as |
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| English | Elegant chaos in fractional-order system without equilibria |
scientific article; zbMATH DE number 6354259 |
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Elegant chaos in fractional-order system without equilibria (English)
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13 October 2014
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Summary: A new fractional-order chaotic system with no equilibria is presented. The proposed system can be considered elegant in the sense given by \textit{J. C. Sprott} [Elegant chaos. Algebraically simple chaotic flows. Dedicated to the memory of Edward Norton Lorenz. Hackensack, NJ: World Scientific (2010; Zbl 1222.37005)], since the corresponding system equations contain very few terms and the system parameters have a minimum of digits. The chaotic dynamics are analyzed using the predictor-corrector algorithm when the fractional-order of the derivative is 0.98. Finally, the presence of chaos is validated by applying different numerical methods.
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