Global vector-field reconstruction of nonlinear dynamical systems from a time series with SVD method and validation with Lyapunov exponents |
| |
Authors: | Liu Wei-Dong K F Ren S Meunier-Guttin-Cluzel and G Gouesbet |
| |
Institution: | Department of Aerospace Technology, National University of Defense Technology, Changsha 410073, China; L.E.S.P., U.M.R. 6614, INSA de Rouen, 76801, Saint Etienne du Rouvray, France |
| |
Abstract: | A method for the global vector-field reconstruction of nonlinear dynamical systems from a time series is studied in this paper. It employs a complete set of polynomials and singular value decomposition (SVD) to estimate a standard function which is central to the algorithm. Lyapunov exponents and dimension, calculated from the differential equations of a standard system, are used for the validation of the reconstruction. The algorithm is proven to be practical by applying it to a R?ssler system. |
| |
Keywords: | global vector-field reconstruction Lyapunov exponents model validation |
本文献已被 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|