Chaos computing: implementation of fundamental logical gates by chaotic elements

Munakata, Toshinori; Sinha, Sudeshna; Ditto, William L.

doi:10.1109/tcsi.2002.804551

Cited by 92 publications

(31 citation statements)

References 26 publications

(21 reference statements)

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“…The behavior of the steady-state solution of this map depends on the value of parameter r. For 0 < r < 1, the steady-state solution is 0; for 1 ≤ r < 3, a fixed point; for 3 ≤ r < 3.57, periodic; and finally for 3.57 ≤ r < 4, chaotic [9]. the successive values of x are very irregular and a small change in the initial condition yields a significantly different sequence of x, In the following, we consider a special case of the logistic map by selecting r = 4.…”

Section: The Logistics Mapmentioning

confidence: 99%

Control of Pendubot with Chaotic Perturbation

Awootsopa

Sritheerawirojana

Sooraksa

et al. 2006

2006 1ST IEEE Conference on Industrial Electronics and Applications

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This research aims to improve the performance of controlling a Pendubot disturbed by chaotic perturbation. The perturbation is in the form of chaotic noises generating using a logistic map type. The control mechanism comprises of two fuzzy controllers working in parallel: one for the actuator located at the first link, the other is for the second one.The propose architecture is said to be robust in the sense that the system can cope with the injected chaotic perturbation proved by simulation results.

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Section: The Logistics Mapmentioning

confidence: 99%

Control of Pendubot with Chaotic Perturbation

Awootsopa

Sritheerawirojana

Sooraksa

et al. 2006

2006 1ST IEEE Conference on Industrial Electronics and Applications

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“…This so-called chaos computing paradigm is driven by the motivation to use a single chaotic unit to emulate different logic gates and ultimately construct a more dynamic architecture. In this direction, the pioneering work of Sinha and Ditto is based on the thresholding (clipping/limiter) method to implement different logic gates [1][2][3][4] . Then Prusha and Linder emphasized the importance of nonlinearity over chaos using a nonlinear paramaterized map and illustrated why chaos and computation require nonlinearity 5 .…”

Section: Introductionmentioning

confidence: 99%

Design and implementation of dynamic logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit

Venkatesh¹,

Venkatesan²,

Lakshmanan

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We report the propagation of a square wave signal in a quasi-periodically driven Murali-Lakshmanan-Chua (QPDMLC) circuit system. It is observed that signal propagation is possible only above a certain threshold strength of the square wave or digital signal and all the values above the threshold amplitude are termed as 'region of signal propagation'. Then, we extend this region of signal propagation to perform various logical operations like AND/NAND/OR/NOR and hence it is also designated as the 'region of logical operation'. Based on this region, we propose implementing the dynamic logic gates, namely AND/NAND/OR/NOR, which can be decided by the asymmetrical input square waves without altering the system parameters. Further, we show that a single QPDMLC system will produce simultaneously two outputs which are complementary to each other. As a result, a single QPDMLC system yields either AND as well as NAND or OR as well as NOR gates simultaneously. Then we combine the corresponding two QPDMLC systems in a cross-coupled way and report that its dynamics mimics that of fundamental R-S flip-flop circuit. All these phenomena have been explained with analytical solutions of the circuit equations characterizing the system and finally the results are compared with the corresponding numerical and experimental analysis. Nonlinear dynamics based computing is an emerging field which can replace silicon chips and is becoming increasingly popular in nonlinear and chaotic dynamics, and computing research. Actually, Boolean based silicon chips are extremely logical in their operations. These logical operations can be classified into two groups, namely combinational logic circuits and sequential logic circuits. The basic building blocks for combinational logic circuits are the logic gates, namely AND, OR, NOT, NAND, NOR, etc., whereas the basic building block for sequential logic circuits is the flip-flop. Here, we have proposed a new mechanism by using a quasi-periodically driven nonlinear dynamical system exhibiting a strange non-chaotic attractor for constructing the logic gates AND/NAND/OR/NOR and fundamental R-S flip-flop circuit with Murali-LakshmananChua circuit as an example. By only imposing constraints on the logic high and logic low values of the input signal, we are able to implement these dynamic logic gates and flip-flop. In fact, without altering the system parameters, we point out how the logical operations can be decided by the asymmetrical input square waves. Consequently, dynamic computing using the behaviour of nona) Electronic mail: venkatesh.sprv@gmail.com b) Electronic mail: av.phys@gmail.com c) Electronic mail: lakshman@cnld.bdu.ac.in linear dynamical systems is shown to be quite implementable in hardware devices. Our results also show that nonlinearity is more significant than the existence of chaos for design of the logic gates and latches.

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“…In 2002 Munakata, Sinha and Ditto described basic principles of implementing the most fundamental computing functions by chaotic elements [2]. The use of one-dimensional schemes like tent map and logistic map are possible to create different logic functions [2,3].In 2010 Ditto, Miliotis, Murali, Sinha and Spano used this feature that chaotic systems can yield a wide variety of patterns to produce main logic operators [4]. Low and one-dimensional chaotic systems can express a stunning variety of different behaviors as a function of time, of their initial conditions or of their parameters [5].…”

Section: Introductionmentioning

confidence: 99%