Investigation of Chaotic and Strange Nonchaotic Phenomena in Nonautonomous Wien-Bridge Oscillator with Diode Nonlinearity. (15th February 2015)

• Record Type: Journal Article
• Authors: Rizwana, R.; Raja Mohamed, I.
• Other Names: Runolfsson Thordur Academic Editor.
• Is Part Of: Journal of nonlinear dynamics. Volume 2015(2015)
• Publication Date: 2015-02-15
• Subjects: Nonlinear theories -- Periodicals; Dynamics -- Periodicals; Dynamics; Nonlinear theories; Periodicals; 531.11
• DOI: 10.1155/2015/612516
• Languages: English
• ISSNs: 2356-7503

Abstract

Abstract : We have studied the chaotic and strange nonchaotic phenomena of a simple quasiperiodically forced Wien bridge oscillator circuit with diode as the only nonlinearity in this electronic oscillator system responsible for various nonlinear behaviors. Both the experimental results and the numerical simulation results for their confirmation are provided to show the bifurcation process. Various measures used for the numerical confirmation of SNA are power spectrum, maximal Lyapunov exponent, path of translational variables, mean square displacement, projection of poincaré section, log-log plot, and autocorrelation function. Based upon the numerical results, the birth of SNAs has been identified in the band merging route, intermittency route, and blowout bifurcation route. In addition, the birth of SNAs has been analyzed with peculiar mechanism, namely, "0-1 Test" employing the one state dynamical variable.