Analytic reconstruction of some dynamical systems |
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Authors: | V Gorodetskyi M Osadchuk |
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Institution: | National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37 Prospect Peremogy, Kyiv 03056, Ukraine |
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Abstract: | We propose a reconstruction of the initial system of ordinary differential equations from a single observed variable. The suggested approach is applied to a certain class of systems which includes, in particular, the Rössler system and other chaotic systems. We develop relations and a method to pass from a model that involves the observable and its time derivatives to a real original system. To this end, we first find a set of candidates of the system in an analytic way. After that, by additionally studying the system, we make a choice for the sought system. |
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Keywords: | Ordinary differential equations Observable Reconstruction Original system |
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