Analytic reconstruction of some dynamical systems
Chaotic Dynamics
2013-02-12 v2 Data Analysis, Statistics and Probability
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 Rossler 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.
Cite
@article{arxiv.1302.1164,
title = {Analytic reconstruction of some dynamical systems},
author = {V. Gorodetskyi and M. Osadchuk},
journal= {arXiv preprint arXiv:1302.1164},
year = {2013}
}
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