MOS realization of the modified Lorenz chaotic system. (English) Zbl 1051.37511
Summary: A new chaotic oscillator circuit that realizes three attractors, the modified Lorenz system, the Lorenz “Butterfly attractor” and the unsymmetrical modified Lorenz system [see: A. S. Elwakil and M. P. Kennedy, IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 48, 289–307 (2001; Zbl 0998.94048)] is given. The general block diagram of this circuit is introduced based on \(g_{\text m}-C\) integrators. The overall circuit realization using MOS transistors and using low supply voltage is given. The proposed circuit depends on the use of grounded capacitors which provides the freedom to be off chip. A new block diagram called voltage controlled current direction is also introduced and its realization using MOS transistors is given. Numerical and PSpice simulations are also provided to confirm its functionality.
MSC:
37N35 | Dynamical systems in control |
94C05 | Analytic circuit theory |
37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
Keywords:
chaotic oscillator circuit; \(g_{\text m}-C\) integrators; voltage controlled current direction; MOS transistors; numerical simulationsCitations:
Zbl 0998.94048References:
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