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Radwan, A. G.; Soliman, A. M.; El-Sedeek, A.

MOS realization of the modified Lorenz chaotic system. (English) Zbl 1051.37511

Chaos Solitons Fractals 21, No. 3, 553-561 (2004).
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.

Cited in 9 Documents

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 simulations

Citations:

Zbl 0998.94048
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Full Text: DOI

References:

[1] Elwakil, A. S.; Kennedy, M. P., Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices, IEEE Trans. Circ. Syst. I, 48, 289 (2001) · Zbl 0998.94048
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