The Wigner distribution, multi-equilibria nonlinear systems and chaotic behaviour

Author

Adamopoulos, P.G. ; Hammond, J.K. ; Lee, J.S.

Author_Institution

Inst. of Sound & Vibration Res., Southampton Univ., UK

fYear

1988

fDate

11-14 Apr 1988

Firstpage

2216

Abstract

The Wigner distribution and chaotic behavior of systems have recently received considerable attention: the Wigner-Ville distribution, due to its advantageous time-frequency plane representation of the signals; and the chaotic behavior of certain types of nonlinear system for apparently having a deterministic form. The authors bring the two together and apply the Wigner distribution to the analysis of nonlinear system response including both nonchaotic and chaotic systems. The procedure is based on simulation of time histories and the calculation of Wigner and pseudo-Wigner distributions

Keywords

nonlinear systems; random processes; signal processing; time-domain analysis; Wigner distribution; Wigner-Ville distribution; chaotic behaviour; deterministic form; multi-equilibria nonlinear systems; nonchaotic systems; nonlinear system response analysis; simulation; time histories; time-frequency plane representation; Chaos; Distributed computing; History; Interference; Linear approximation; Nonlinear equations; Nonlinear systems; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Conference_Location

New York, NY

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1988.197075

Filename

197075