Investigation of Chaotic and Strange Nonchaotic Phenomena in Nonautonomous Wien-Bridge Oscillator with Diode Nonlinearity
Author(s) -
R. Rizwana,
I. Raja Mohamed
Publication year - 2015
Publication title -
journal of nonlinear dynamics
Language(s) - English
Resource type - Journals
eISSN - 2356-7503
pISSN - 2314-6893
DOI - 10.1155/2015/612516
Subject(s) - intermittency , lyapunov exponent , bifurcation , chaotic , nonlinear system , autocorrelation , physics , mathematics , mathematical analysis , statistical physics , quantum mechanics , mechanics , computer science , statistics , artificial intelligence , turbulence
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
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