Title :
A singular value decomposition approach to detect chaos in nonlinear circuits and dynamic systems
Author :
Baglio, Salvatore ; Fortuna, Luigi
Author_Institution :
Dipartimento Elettrico Elettronico e Sistemistico, Catania Univ., Italy
fDate :
12/1/1994 12:00:00 AM
Abstract :
In this paper the analogy between Lyapunov exponents and the singular values of the covariance matrix is introduced and two new conjectures are stated. On this basis a new numerical procedure to classify the steady-state behavior of nonlinear dynamic systems from noisy time series data is presented. In order to show the suitability of the proposed approach, several applications to time series data gathered from measurements on experimental circuits are reported
Keywords :
Lyapunov methods; chaos; covariance matrices; nonlinear dynamical systems; nonlinear network analysis; singular value decomposition; time series; Lyapunov exponents; chaos; covariance matrix; noisy time series data; nonlinear circuits; nonlinear dynamic systems; singular value decomposition approach; steady-state behavior; Chaos; Covariance matrix; Feedback amplifiers; Frequency; Nonlinear circuits; Nonlinear distortion; Oscillators; Singular value decomposition; Steady-state; Strontium;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
