A family of Wien-type oscillators modified for chaos

• Published in: International journal of circuit theory and applications Vol. 25; no. 6; pp. 561 - 579
• Main Authors: Elwakil, A. S., Soliman, A. M.
• Format: Journal Article
• Language: English
• Published: London Wiley Subscription Services, Inc., A Wiley Company 01.11.1997; Wiley
• Subjects: Applied sciences; Circuit properties; Electric, optical and optoelectronic circuits; Electronic circuits; Electronics; Exact sciences and technology; Oscillators, resonators, synthetizers; Chaos; Non linear circuit; Numerical simulation; Circuit design; Oscillator; Network analysis
• ISSN: 0098-9886; 1097-007X
• DOI: 10.1002/(SICI)1097-007X(199711/12)25:6<561::AID-CTA987>3.0.CO;2-K

A family consisting of four Wien‐type oscillator circuits are modified for chaos by direct replacement of one of the linear resistors with an asymmetrical‐type non‐linearity introduced by a junction field effect transistor (JFET) operating in its triode region and the addition of a single capacitor. The internal op amp dominant pole is found to play a major role in understanding the chaotic behaviour of the proposed circuits. Mathematical models that describe the observed behaviours are derived. The well known Wien bridge oscillator design equations are shown to be useful as a starting point for chaos modification. Experimental laboratory results, PSpice simulations and numerical simulations of the mathematical models are provided for this family of autonomous RC chaos generators. © 1997 John Wiley & Sons, Ltd.