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In this paper, we present the design of a new chaotic map circuit with a 65nm CMOS process. This chaotic map circuit uses a dynamic parameter-control topology and generates a wide chaotic range. We propose two designs of dynamic…

Hardware Architecture · Computer Science 2021-01-06 Partha Sarathi Paul , Maisha Sadia , Md Sakib Hasan

We deal with randomness-quantifiers and concentrate on their ability do discern the hallmark of chaos in time-series used in connection with pseudo random number generators (PRNG). Workers in the field are motivated to use chaotic maps for…

Chaotic Dynamics · Physics 2015-05-13 L. De Micco , H. A. Larrondo , A. Plastino , O. A. Rosso

The integration of quantum communication functions often requires dedicated opto-electronic components that do not bode well with the technology roadmaps of telecom systems. We investigate the capability of commercial coherent transceiver…

Many models for chaotic systems consist of joining two integrable systems with incompatible constants of motion. The quantum counterparts of such models have a propagator which factorizes into two integrable parts. Each part can be…

Chaotic Dynamics · Physics 2009-10-31 Tomaz Prosen , Thomas H. Seligman , Hans A. Weidenmueller

We investigate explicit functions that can produce truly random numbers. We use the analytical properties of the explicit functions to show that certain class of autonomous dynamical systems can generate random dynamics. This dynamics…

Chaotic Dynamics · Physics 2009-11-07 J. A. Gonzalez , L. I. Reyes , J. J. Suarez , L. E. Guerrero , G. Gutierrez

The generation of random numbers via quantum processes is an efficient and reliable method to obtain true indeterministic random numbers that are of vital importance to cryptographic communication and large-scale computer modeling. However,…

Quantum Physics · Physics 2015-05-20 J. Y. Haw , S. M. Assad , A. M. Lance , N. H. Y. Ng , V. Sharma , P. K. Lam , T. Symul

Internet communication systems involving cryptography and data hiding often require billions of random numbers. In addition to the speed of the algorithm, the quality of the pseudo-random number generator and the ease of its implementation…

Cryptography and Security · Computer Science 2017-06-28 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux

Oscillatory activities are widely observed in specific frequency bands of recorded field potentials in different brain regions, and play critical roles in processing neural information. Understanding the structure of these oscillatory…

Neurons and Cognition · Quantitative Biology 2015-07-23 Pengsheng Zheng

A nonlinear oscillator with an abruptly inhomogeneous restoring force driven by an uniform oscillating force exhibits stochastic properties under specific resonance conditions. This behaviour elucidates the elementary mechanism of the…

Plasma Physics · Physics 2015-05-19 S. V. Bulanov , A. Yogo , T. Zh. Esirkepov , J. K. Koga , S. S. Bulanov , K. Kondo , M. Kando

Random number generators (RNG) are essential elements in many cryptographic systems. True random number generators (TRNG) rely upon sources of randomness from natural processes such as those arising from quantum mechanics phenomena. We…

Quantum random number generator (QRNG) utilizes the intrinsic randomness of quantum systems to generate completely unpredictable and genuine random numbers, finding wide applications across many fields. QRNGs relying on the phase noise of a…

Quantum Physics · Physics 2024-02-28 Jialiang Li , Zitao Huang , Chunlin Yu , Jiajie Wu , Tongge Zhao , Xiangwei Zhu , Shihai Sun

Mean value and cross-covariance function of chaotic binary sequences are evaluated for chaotic maps with specific properties. We also take into account the effect of fixed- and floating-point representations on statistical properties of…

Chaotic Dynamics · Physics 2008-05-29 Bogdan Cristea

In this paper, we introduce a novel discrete chaotic map named zigzag map that demonstrates excellent chaotic behaviors and can be utilized in Truly Random Number Generators (TRNGs). We comprehensively investigate the map and explore its…

Dynamical Systems · Mathematics 2012-06-06 Hamid Nejati , Ahmad Beirami , Warsame H. Ali

Random numbers are a valuable commodity in gaming and gambling, simulation, conventional and quantum cryptography, and in non-conventional computing schemes such as stochastic computing. We propose to generate a random bit using a position…

Quantum Physics · Physics 2020-06-24 Heath McCabe , Scott M. Koziol , Gregory L. Snider , Enrique P. Blair

An approach to generate the pseudorandom-bit sequence from the asymptotic deterministic randomness system is proposed in this Letter. We study the characteristic of multi-value correspondence of the asymptotic deterministic randomness…

Chaotic Dynamics · Physics 2009-11-13 Kai Wang , Wenjiang Pei , Haishan Xia , Yiu-ming Cheung

In this paper, we develop an information entropy based metric that represents the statistical quality of the generated binary sequence in Truly Random Number Generators (TRNG). The metric can be used for the design and optimization of the…

Information Theory · Computer Science 2015-03-20 Ahmad Beirami , Hamid Nejati , Yehia Massoud

Chaotic semiconductor lasers have been widely investigated for generating true random numbers with the merit of unpredictability relative to pseudorandom numbers generated by a computing process, especially for the lasers with external…

The Random Coupling Model (RCM) is a statistical approach for studying the scattering properties of linear wave chaotic systems in the semi-classical regime. Its success has been experimentally verified in various over-moded wave settings,…

Classical Physics · Physics 2019-03-11 Min Zhou , Edward Ott , Thomas M. Antonsen, , Steven M. Anlage

Chaos is a fundamental phenomenon in nonlinear dynamics, manifesting as irregular and unpredictable behavior across various physical systems. Among the diverse routes to chaos, intermittent chaos is a distinct transition pathway,…

A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the type of solution becomes subject to external…

chao-dyn · Physics 2007-05-23 G. V. Vlasov
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