Chaos in a Single Op-Amp-Based Jerk Circuit: Experiments and Simulations

Author(s)

Tchitnga, Robert ^{[1, 2]} ; Nguazon, Tekou ^{[1, 2]} ; Fotso, Patrick H. Louodop ^{[3, 1, 2]} ; Gallas, Jason A. C. ^{[4, 5, 6]}

Affiliation

^[1] Univ Dschang, Lab Elect & Signal Proc, Dschang - Cameroon

^[2] Univ Dschang, Fac Sci, Dept Phys, Res Grp Expt & Appl Phys Sustainable Dev, Dschang - Cameroon

^[3] Univ Estadual Paulista, UNESP, Inst Fis Teor, BR-01140070 Sao Paulo, SP - Brazil

^[4] Univ Erlangen Nurnberg, Inst Multiscale Simulat, D-91052 Erlangen - Germany

^[5] Inst Altos Estudos Paraiba, BR-58039150 Joao Pessoa, PR - Brazil

^[6] Univ Fed Paraiba, Dept Phys, BR-58051970 Joao Pessoa, PR - Brazil

• Document type: Journal article
• Source: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS; v. 63, n. 3, p. 239-243, MAR 2016.
• Web of Science Citations: 11

Abstract

We report a five-component autonomous chaotic oscillator of jerky type, hitherto the simplest of its kind, using only one operational amplifier. The key component of the circuit is a junction field-effect transistor operating in its triode region, which provides a nonlinear resistor of antisymmetrical current-voltage characteristic, emulating a Colpitts-like chaotic circuit. We describe the experimental results illustrating the dynamical behavior of the circuit. In addition, we report numerical simulations of a model of the circuit which display good agreement with our measurements. (AU)

• FAPESP's process: 14/13272-1 - Finite time synchronization of chaotic systems and applications
• Grantee: Patrick Herve Louodop Fotso
• Support Opportunities: Scholarships in Brazil - Post-Doctoral