Title :
A singular value decomposition approach to detect chaotic dynamics
Author :
Baglio, S. ; Fortuna, L.
Author_Institution :
Dipartimento Elettrico, Elettronico e Sistemistico, Catania Univ., Italy
Abstract :
In this paper some theoretical results and a new numerical procedure to detect the steady-state behavior of nonlinear dynamical systems are reported. The procedure works on data time series and quantifies the expanding and contracting features of the flow. This allows us to classify the observed dynamics as periodic or chaotic. Some applications of the procedure are also presented
Keywords :
Lyapunov methods; chaos; identification; nonlinear dynamical systems; singular value decomposition; time series; SVD; chaotic dynamics detection; data time series; nonlinear dynamical systems; numerical procedure; singular value decomposition; steady-state behavior; Analytical models; Chaos; Covariance matrix; Matrix decomposition; Nonlinear dynamical systems; Numerical simulation; Performance analysis; Sampling methods; Singular value decomposition; Steady-state;
Conference_Titel :
Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-1760-2
DOI :
10.1109/MWSCAS.1993.343235
