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—Two generic classes of chaotic oscillators comprising four different configurations are constructed. The proposed structures are based on the simplest possible abstract models of generic second-order RC sinusoidal oscillators that satisfy the basic condition for oscillation and the frequency of oscillation formulas. By linking these sinusoidal oscillator… (More)

—An improved implementation of Chua's chaotic oscillator is proposed. The new realization combines attractive features of the current feedback op amp (CFOA) operating in both voltage and current modes to construct the active three-segment voltage-controlled nonlinear resistor. Several enhancements are achieved: The component count is reduced and the chaotic… (More)

Traditional continuous-time filters are of integer order. However, using fractional calculus , filters may also be represented by the more general fractional-order differential equations in which case integer-order filters are only a tight subset of fractional-order filters. In this work, we show that low-pass, high-pass, band-pass, and all-pass filters can… (More)

An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound… (More)

—In this paper we propose a fractional lowpass transfer function of the order (n + α) where n is an integer and 0 < α < 1. We show how this filter can be designed using an integer-order transfer function approximation of the fractional-order Laplacian operator s α. A 1 st order lowpass filter with fractional steps from 0.1 to 0.9, that is of order 1.1 to… (More)

—Sinusoidal oscillators are known to be realized using dynamical systems of second-order or higher. Here we derive the Barhkausen condition for a linear noninteger-order (fractional order) dynamical system to oscillate. We show that the oscillation condition and oscillation frequency of some famous integer order sinusoidal oscillators can be obtained as… (More)

A novel nonautonomous chaotic oscillator based on the passive structure of Chua's circuit is proposed. Unlike most of the available members of this class of chaotic oscillators, the proposed circuit is driven by a periodic bipolar pulse-train rather than by sinusoidal excitation. This results in equilibrium points which have ®xed positions in space. The… (More)

We propose a simple continuous-time system for chaos generation based on a third-order abstract canonical mathematical model. Nonlinearity in this model is introduced by a bipolar switching constant, which reflects the behavior of a digital inverter. A simple area efficient implementation of the system in a 1.2 µ CMOS process is presented. Experimental… (More)