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MOS realization of the double-scroll-like chaotic equation

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TLDR
In this article, a new chaotic circuit based on Gm-C integrators is presented, which realizes the double-scroll-like chaotic equation presented by Sprott (2000) and Elwakil and Kennedy (2001).
Abstract
This brief presents a new chaotic circuit based on Gm-C integrators. The circuit realizes the double-scroll-like chaotic equation presented by Sprott (2000) and Elwakil and Kennedy (2001). The mentioned equation describes double-scroll dynamics with a simple mathematical model. The proposed circuit uses a current-mode technique that is suitable for integrated circuit implementation and high-frequency operation using low supply voltage. A general block diagram is presented based on Gm-C integrators. Its realization using MOS transistors and three grounded capacitors is also given. Simulation results to demonstrate the practicality of the circuit are included.

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Citations
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Journal ArticleDOI

True random bit generation from a double-scroll attractor

TL;DR: The proposed TRBG is subjected to statistical tests which are the well-known Federal Information Processing Standards-140-1 and Diehard test suite in the area of cryptography and successfully passes all these tests and can be implemented in integrated circuits.
Journal ArticleDOI

A New Chaotic Jerk Circuit

TL;DR: This paper describes a particularly elegant circuit whose operation is accurately described by a simple variant of that equation in which the requisite nonlinearity is provided by a single diode and for which the analysis is particularly straightforward.
Journal ArticleDOI

N-scroll chaotic attractors from saturated function series employing CCII+s

TL;DR: In this article, the authors proposed the generation of n-scroll chaotic attractors by using saturated nonlinear function series (SNFS) realized with positive-type second generation current conveyors (CCII+s).
Journal ArticleDOI

On some generalized discrete logistic maps.

TL;DR: Three different generalized logistic maps are introduced with arbitrary powers which can be reduced to the conventional logistic map, and the added parameter (arbitrary power) increases the degree of freedom of each map and gives a versatile response that can fit many applications.
Journal ArticleDOI

A High Speed IC Truly Random Number Generator Based on Chaotic Sampling of Regular Waveform

TL;DR: A novel random number generation method based on chaotic sampling of regular waveform, which passes the four basic tests of FIPS-140-2, and a high speed IC truly random number generator based on this method is presented.
References
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Journal ArticleDOI

The double scroll

TL;DR: In this paper, a detailed analysis of the geometric structure of a chaotic attractor observed from an extremely simple electrical circuit is given. And the chaotic nature of the attractor is further confirmed by calculating its associated Lyapunov exponents and Lyapeunov dimension.
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A new class of chaotic circuit

TL;DR: In this paper, a chaotic electrical circuit using only resistors, capacitors, diodes, and inverting operational amplifiers is proposed, which is a new class of chaotic electrical circuits.
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Simple chaotic systems and circuits

TL;DR: In this paper, a number of chaotic electrical circuits with algebraically simple representations are described and evaluated using a single third-order autonomous ordinary differential equation (jerk equation) with various nonlinearities.
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Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices

TL;DR: In this paper, two generic classes of chaotic oscillators comprising four different configurations are constructed 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.
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