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This paper describes the design of a modified tent map characterized by a uniform probability density function. The use of this map is proposed as an alternative to the tent map and the Bernoulli shift. It is shown that practical circuits…

Chaotic Dynamics · Physics 2014-09-29 Sergio Callegari , Gianluca Setti , Peter J. Langlois

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

Chaotic systems have been investigated in several areas of engineering. In control theory, such systems have instigated the emergence of new techniques as well, have been used as a source of noise generation. The application of chaotic…

Signal Processing · Electrical Eng. & Systems 2019-10-15 M. Teixeira , N. P. Basilio , D. L. Firmo , E. G. Nepomuceno , J. Arias-Garcia

New algorithms and optimization techniques are needed to balance the accelerating trend towards bandwidth-starved multicore chips. It is well known that the performance of stencil codes can be improved by temporal blocking, lessening the…

Performance · Computer Science 2012-03-01 Markus Wittmann , Georg Hager , Gerhard Wellein

Tent map is a discrete-time piecewise-affine I/O characteristic curve, which is used for chaos-based applications, such as true random number generation. However, tent map suffers from the inability to maintain the output state confined to…

Dynamical Systems · Mathematics 2012-05-24 Hamid Nejati , Ahmad Beirami , Yehia Massoud

Though considerable effort has recently been devoted to hardware realization of chaotic maps, the analysis generally neglects the influence of implementation inaccuracies. Here we investigate the consequences of S/H errors on Bernoulli…

Chaotic Dynamics · Physics 2013-10-25 Sergio Callegari , Riccardo Rovatti

Bandwidth-starved multicore chips have become ubiquitous. It is well known that the performance of stencil codes can be improved by temporal blocking, lessening the pressure on the memory interface. We introduce a new pipelined approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-17 Markus Wittmann , Georg Hager , Jan Treibig , Gerhard Wellein

This work is motivated by a question whether it is possible to calculate a chaotic sequence efficiently, e.g., is it possible to get the $n$-th bit of a bit sequence generated by a chaotic map, such as $\beta$-expansion, tent map and…

Computational Complexity · Computer Science 2024-05-02 Naoaki Okada , Shuji Kijima

In this article, we have studied a 1D map, which is formed by combining the two well-known maps i.e. the tent and the logistic maps in the unit interval i.e. [0, 1]. The proposed map can behave as the piecewise smooth or non-smooth maps…

Chaotic Dynamics · Physics 2020-02-17 Dhrubajyoti Biswas , Soumyajit Seth , Mita Bor

High-speed multi-agent autonomous racing demands robust spatiotemporal planning and precise control under strict computational limits. Current methods often oversimplify interactions or abandon strict kinematic constraints. We resolve this…

Robotics · Computer Science 2026-03-11 Mingyi Zhang , Cheng Hu , Yiqin Wang , Haotong Qin , Hongye Su , Lei Xie

Digital implementations of chaotic systems often suffer from inherent degradation, limiting their long-term performance and statistical quality. To address this challenge, we propose a novel four-stage synchronized piecewise linear chaotic…

Chaotic Dynamics · Physics 2025-07-08 Ricardo Francisco Martinez-Gonzalez

This letter proposes using intermittent chaotic clocks, generated from chaotic maps, to drive cryptographic chips running the Advanced Encryption Standard as a countermeasure against Correlation Power Analysis attacks. Five different…

Human brain processes sensory information in real-time with extraordinary efficiency compared to the possibilities of current artificial computing systems. It operates as a complex nonlinear system, composed of interacting dynamic units -…

Emerging Technologies · Computer Science 2025-04-21 Manuel Escudero , Sabina Spiga , Stefano Brivio

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

In the last few years the literature has witnessed a remarkable surge of interest for chaotic maps implemented by discrete-time (DT) memristor circuits. This paper investigates on the reasons underlying this type of chaotic behavior. To…

Chaotic Dynamics · Physics 2024-09-04 Mauro Di Marco , Mauro Forti , Giacomo Innocenti , Luca Pancioni , Alberto Tesi

Stencil computations consume a major part of runtime in many scientific simulation codes. As prototypes for this class of algorithms we consider the iterative Jacobi and Gauss-Seidel smoothers and aim at highly efficient parallel…

Performance · Computer Science 2012-03-01 Jan Treibig , Gerhard Wellein , Georg Hager

Heterogeneous systems appear as a viable design alternative for the dark silicon era. In this paradigm, a processor chip includes several different technological alternatives for implementing a certain logical block (e.g., core, on-chip…

Hardware Architecture · Computer Science 2018-10-31 M. Horro , G. Rodríguez , J. Touriño , M. T. Kandemir

Chaotic dynamics is widely used to design pseudo-random number generators and for other applications such as secure communications and encryption. This paper aims to study the dynamics of discrete-time chaotic maps in the digital (i.e.,…

Cryptography and Security · Computer Science 2018-12-19 Chengqing Li , Bingbing Feng , Shujun Li , Juergen Kurths , Guanrong Chen

The logistic map is a paradigmatic dynamical system originally conceived to model the discrete-time demographic growth of a population, which shockingly, shows that discrete chaos can emerge from trivial low-dimensional non-linear dynamics.…

Chaotic Dynamics · Physics 2016-04-20 Alexandre L'Her , Pablo Amil , Nicolas Rubido , Arturo C. Marti , Cecilia Cabeza

Efficient data access in High-Performance Computing (HPC) systems is essential to the performance of intensive computing tasks. Traditional optimizations of the I/O stack aim to improve peak performance but are often workload specific and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-21 Thomas Collignon , Kouds Halitim , Raphaël Bleuse , Sophie Cerf , Bogdan Robu , Éric Rutten , Lionel Seinturier , Alexandre van Kempen
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