Higher-order spectral analysis of Ueda´s circuit

Author

Zhu, Zhiwen ; Liu, Zhong

Author_Institution

Dept. of Electron. Eng., Nanjing Univ., China

Volume

1

fYear

1996

fDate

14-18 Oct 1996

Firstpage

549

Abstract

In this paper, the time series integrated from periodically excited Ueda´s circuit are studied by utilizing bispectral and trispectral techniques. The calculations of bicoherence and tricoherence are performed on a route (P1-P3-P9-transient chaos) which the Ueda´s circuit follows to chaos. Both bicoherence and tricoherence spectra indicate that for the nonchaotic (limit cycles) motion, the quadratic and cubic nonlinear interactions are strong and both are important to the dynamics; however, the quadratic and cubic nonlinearity becomes weak when the Ueda´s circuit is in the chaotic state

Keywords

chaos; higher order statistics; limit cycles; nonlinear dynamical systems; nonlinear network analysis; spectral analysis; time series; Ueda´s circuit; bicoherence calculation; bispectral techniques; chaos; cubic nonlinear interaction; higher-order spectral analysis; limit cycles; nonchaotic motion; quadratic nonlinear interaction; time series; tricoherence calculation; trispectral techniques; Chaos; Fractals; Frequency; Information analysis; Integrated circuit technology; Limit-cycles; Motion analysis; Nonlinear equations; Roads; Spectral analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing, 1996., 3rd International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-2912-0

Type

conf

DOI

10.1109/ICSIGP.1996.567323

Filename

567323