2 MODIFIED FOR CHAOS NEGATIVE IMPEDANCE CONVERTER OP AMP OSCILLATORS WITH SYMMETRICAL AND ANTISYMMETRICAL NONLINEARITIES

Citation
As. Elwakil et Am. Soliman, 2 MODIFIED FOR CHAOS NEGATIVE IMPEDANCE CONVERTER OP AMP OSCILLATORS WITH SYMMETRICAL AND ANTISYMMETRICAL NONLINEARITIES, International journal of bifurcation and chaos in applied sciences and engineering, 8(6), 1998, pp. 1335-1346
Citations number
12
Categorie Soggetti
Mathematics,Mathematics,"Multidisciplinary Sciences
ISSN journal
02181274
Volume
8
Issue
6
Year of publication
1998
Pages
1335 - 1346
Database
ISI
SICI code
0218-1274(1998)8:6<1335:2MFCNI>2.0.ZU;2-E
Abstract
Two sinusoidal oscillator circuits, that employ an operational amplifi er (op amp) as a current negative impedance converter (CNIC), are modi fied for chaos using a nonlinear resistor of antisymmetrical current-v oltage characteristics formed by a junction field effect transistor (J FET) operating in the triode region. The internal op amp dominant pole is found to contribute significantly to the chaotic nature of one cir cuit while the other circuit develops different chaotic attractors whe n cubic and fifth power odd symmetrical nonlinearities are used. Mathe matical models of the two generators are presented. Experimental labor atory results, circuit simulations and numerical simulations of the ma thematical models well agree and are included.