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Chaos enables the emergence of randomness in deterministic physical systems. Therefore it can be exploited for the conception of true random number generators (RNG) mandatory in classical cryptography applications. Meanwhile, nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

In many publications, authors showed that chaotic pseudo random number generators (PRNGs) may improve performance of the evolutionary algorithms. In this paper, we use two chaotic maps Gingerbread man and Tinkerbell as the chaotic PRNGs…

Neural and Evolutionary Computing · Computer Science 2014-12-22 Lenka Skanderova , Tomas Fabian

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them encountered many problems such as small key space and weak security. In the present paper, a new kind of chaotic cryptosystem based on…

Chaotic Dynamics · Physics 2010-10-22 S. Behnia , A. Akhshani , A. Akhavan , H. Mahmodi

We introduce new families of enhanced chaotic number generators in order to compute very fast long series of pseudorandom numbers. The key feature of these generators being the use of chaotic numbers themselves for sampling chaotic…

Dynamical Systems · Mathematics 2008-02-20 R. Lozi

Designing a pseudorandom number generator (PRNG) is a difficult and complex task. Many recent works have considered chaotic functions as the basis of built PRNGs: the quality of the output would indeed be an obvious consequence of some…

Cryptography and Security · Computer Science 2017-03-08 Sylvain Contassot-Vivier , Jean-François Couchot , Christophe Guyeux , Pierre-Cyrille Heam

This paper focuses on the design and implementation of a high-quality and high-throughput true-random number generator (TRNG) in FPGA. Various practical issues which we encountered are highlighted and the influence of the various parameters…

Cryptography and Security · Computer Science 2009-06-26 Cristian Klein , Octavian Cret , Alin Suciu

The emerging magneto-resistive RAM (MRAM) has considerable potential to become a universal memory technology because of its several advantages: unlimited endurance, lower read/write latency, ultralow-power operation, high-density, and CMOS…

Emerging Technologies · Computer Science 2021-04-02 Farah Ferdaus , B. M. S. Bahar Talukder , Mehdi Sadi , Md Tauhidur Rahman

Large deviations in chaotic dynamics have potentially significant and dramatic consequences. We study large deviations of series of finite lengths $N$ generated by chaotic maps. The distributions generally display an exponential decay with…

Chaotic Dynamics · Physics 2022-10-21 Naftali R. Smith

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

This paper explores the development and viability of an alternative pseudorandom number generator (PRNG) that leverages the chaotic dynamics of multiple pendulum systems. Some traditional PRNGs, notably the one implemented in the…

Cryptography and Security · Computer Science 2024-04-29 Matthew Sigit

True random number generators (TRNGs) underpin modern cryptography, yet existing implementations face fundamental trade-offs between speed, scalability, and entropy quality. Here, we demonstrate that stochastic switching in the bistable…

Random number generators (RNG) are an important resource in many areas: cryptography (both quantum and classical), probabilistic computation (Monte Carlo methods), numerical simulations, industrial testing and labeling, hazard games,…

Quantum Physics · Physics 2015-05-27 Mario Stipcevic

Magnetic Tunnel Junctions (MTJs) have shown great promise as hardware sources for true random number generation (TRNG) due to their intrinsic stochastic switching behavior. However, practical deployment remains challenged by drift in…

We consider a family of singular maps as an example of a simple model of dynamical systems exhibiting the property of robust chaos on a well defined range of parameters. Critical boundaries separating the region of robust chaos from the…

Chaotic Dynamics · Physics 2008-05-20 M. G. Cosenza , O. Alvarez-LLamoza

The chaotic systems have been found applications in diverse fields such as pseudo random number generator, coding, cryptography, spread spectrum (SS) communications etc. The inherent capability of generating a large space of PN sequences…

Discrete Mathematics · Computer Science 2012-07-12 V. H. Mankar , T. S. Das , S. K. Sarkar

Dynamic and non-linear systems are emerging as potential candidates for random bit generation. In this context, chaotic systems, which are both dynamic and stochastic, are particularly suitable. This paper introduces a new continuous…

Systems and Control · Electrical Eng. & Systems 2023-01-09 Ngoc T. Nguyen , Toan Q. Bui , Ghyslain Gagnon , Pascal Giard , Georges Kaddoum

This paper presents a new generator of chaotic bit sequences with mixed-mode (continuous and discrete) inputs. The generator has an improved level of chaotic properties in comparison with the existing single source (input) digital chaotic…

Chaotic Dynamics · Physics 2017-12-27 Michal Melosik , Wieslaw Marszalek

In this paper we present a new pseudorandom number generator (PRNG) on graphics processing units (GPU). This PRNG is based on the so-called chaotic iterations. It is firstly proven to be chaotic according to the Devaney's formulation. We…

Cryptography and Security · Computer Science 2011-12-23 Jacques M. Bahi , Raphaël Couturier , Christophe Guyeux , Pierre-Cyrille Héam

This article describes a new family of cryptographically secure pseudorandom number generators, based on coupled chaotic maps, that will serve as keystream in a stream cipher. The maps are a modification of a piecewise linear map, by…

Cryptography and Security · Computer Science 2010-08-18 A. B. Orue , G. Alvarez , A. Guerra , G. Pastor , M. Romera , F. Montoya

Grebogi, Ott and Yorke (Phys. Rev. A 38(7), 1988) have investigated the effect of finite precision on average period length of chaotic maps. They showed that the average length of periodic orbits ($T$) of a dynamical system scales as a…

Chaotic Dynamics · Physics 2009-11-13 Nithin Nagaraj , Mahesh C. Shastry , Prabhakar G. Vaidya