Jerk Model Current-mode Chaotic Oscillator based on OTA
Article Sidebar
Main Article Content
Abstract
This paper describes a chaotic oscillator circuit based on Jerk model and nonlinear function. The signum function is
deployed to realize the chaotic oscillator which controlled by using a single parameter. The OTA and grounded capacitors are used without the resistors for achieving the chaotic oscillator. The circuit consists of main three parts, lossless integrator, biquadratic low-pass filter, and nonlinear function circuits. The condition of chaos signal can be electronically tuned through the quality factor of biquadratic low-pass filter. The simulation results are incorporated by PSpice and MATLAB which found that the chaos signal can be generated agree well to the theory. The chaos behavior can also be proved by bifurcation diagram. The signal output has doubling periods according to the circuit
results.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Journal of TCI is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence, unless otherwise stated. Please read our Policies page for more information...
References
J. S. Ramos, “Introduction to Nonlinear Dynamics of Electronic Systems: Tutorial”, Nonlinear Dynamics, Vol.44, pp.3–14, 2006.
M. P. Kennedy, “Chaos in the Colpitts oscillator”, IEEE Trans. Circuit Syst.-I, Vol.41, pp.771–774, 1994.
A. S. Elwakil, and M. P. Kennedy, “A Semi-Systematic Procedure for Producing Chaos from Sinusoidal Oscillators Using Diode- Inductor and FET-Capacitor Composites,” IEEE Trans. Circuit Syst.-I, Vol.47, pp.582-590, 2000.
A. S. Elwakil, and A. M. Soliman, “Two twin-T based op-amp oscillators modified for Chaos”, J. Franklin Inst, Vol.335B,
pp.771-787, 1998.
A. S. Elwakil, and A. M. Soliman, “Chaotic oscillators derived from sinusoidal oscillators based on the current feedback opamp,”
Analog Integr Circuits Signal Process., Vol.24, pp.239-251, 2000.
J. C. Sprott, “Simple chaotic systems and circuits,” American. J. Phys., Vol.68, No.8, pp.758-763, 2000.
J. C. Sprott, “A New Class of Chaotic Circuit,” Physics Letters A, vol. 266, pp.19-23, 2000.
B. Srisuchinwong, C.-H. Liou, and T. Klongkumnuankan, Prediction of Dominant Frequencies of CFOA-Based Sprott’s
Sinusoidal and Chaotic Oscillators, Word Scientific Publishing, pp.331-337, 2009.
T. Siriburanon,B. Srisuchinwong, T. Nontapradit, “Compound Structures of Six New Chaotic Attractors in a Solely-Single-
Coefficient Jerk Model with Arctangent Nonlinearity,” Proc. of Chinese Control and Decision Conference (CCDC 2010), Xuzhou,
China, pp.985-990, 26-28 May, 2010.
E. Saising and P. Prommee, "Fully Tunable all-pass filter using OTA and its application,” Proc. of 39th International Conference
on Telecommunications and Signal Processing (TSP2016), Vienna, Austria, 27-29 June 2016.
