Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877682 | Physica D: Nonlinear Phenomena | 2005 | 15 Pages |
Abstract
For various classes of time-delay systems we propose the methods of their model delay-differential equation reconstruction from time series. The methods are based on the characteristic location of extrema in the time series of time-delay systems and the projection of infinite-dimensional phase space of these systems to suitably chosen low-dimensional subspaces. We verify our methods by using them for the recovery of time-delay differential equations from their chaotic solutions and for modelling experimental systems with delay-induced dynamics from their chaotic time series.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.D. Prokhorov, V.I. Ponomarenko, A.S. Karavaev, B.P. Bezruchko,