1. Analytic reconstruction of some dynamical systems
- Author
-
Gorodetskyi, V. and Osadchuk, M.
- Subjects
Nonlinear Sciences - Chaotic Dynamics ,Physics - Data Analysis, Statistics and Probability ,34C15, 34C28 - 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., Comment: Corrected references
- Published
- 2013
- Full Text
- View/download PDF