Title :
Using linear and nonlinear decompositions in state-space for calculating minimal dimension embedding of chaotic attractor
Author :
Krot, Alexander M. ; Minervina, Helena B.
Author_Institution :
Institute of Engineering Cybernetics of the National Academy of Sciences of Belarus, 6, Surganov Str., 220012, Minsk, Belarus
Abstract :
The theoretic ground of a locally topological method for defining a minimal attractor embedding dimension on the basis of linear and nonlinear decompositions in state-space of a dynamic system is proposed. The computer confirmation of the theoretical results is presented.
Keywords :
Computers; Equations; Estimation; Mathematical model; Nonlinear dynamical systems; State-space methods; Vectors; linear and nonlinear decompositions; minimal attractor embedding dimension; state-space method;
Conference_Titel :
Signal Processing Conference, 2000 10th European
Conference_Location :
Tampere, Finland
Print_ISBN :
978-952-1504-43-3