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We propose an asynchronous iterative scheme that allows a set of interconnected nodes to distributively reach an agreement within a pre-specified bound in a finite number of steps. While this scheme could be adopted in a wide variety of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Andreas Grammenos , Themistoklis Charalambous , Evangelia Kalyvianaki

Quasi-integrable Hamiltonian systems are of great interest in many research fields of physics and mathematics. In these systems, the phase space has regular and chaotic trajectories. These trajectories depend in part on the magnitude of…

Plasma Physics · Physics 2014-04-14 Vilarbo da Silva , Alexsandro M. Carvalho

In previous work, the $k$-logistic map [Machicao and Bruno, Chaos, vol. 27, 053116 (2017)] was introduced as a transformation operating in the $k$ less significant digits of the Logistic map. It exploited the map's pseudo-randomness…

Chaotic Dynamics · Physics 2020-01-13 Jeaneth Machicao , Odemir M. Bruno , Murilo S. Baptista

In this work, it is presented an optical scheme for quantum key distribution employing two synchronized optoelectronic oscillators (OEO) working in the chaotic regime. The produced key depends on the chaotic dynamic and the synchronization…

Quantum Physics · Physics 2017-03-21 R. V. Ramos

Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby revealing the maps to be…

Chaotic Dynamics · Physics 2010-10-13 Thomas L. Curtright , Cosmas K. Zachos

An interleaving technique is proposed to enhance the throughput of current-mode CMOS discrete time chaotic sources based on the iteration of unidimensional maps. A discussion of the reasons and the advantages offered by the approach is…

Chaotic Dynamics · Physics 2015-07-02 Sergio Callegari , Riccardo Rovatti , Gianluca Setti

Over the years, many techniques have been introduced to protect integrated circuits (ICs) from hardware security threats that emerged in the globalized IC manufacturing supply chain, such as overproduction and piracy. However, most of these…

Cryptography and Security · Computer Science 2026-04-14 Levent Aksoy , Muhammad Sohaib Munir , Sedat Akleylek

The security of image data in the Internet of Things (IoT) and edge networks is crucial due to the increasing deployment of intelligent systems for real-time decision-making. Traditional encryption algorithms such as AES and RSA are…

Cryptography and Security · Computer Science 2025-05-02 Muhammad Shahbaz Khan , Ahmed Al-Dubai , Jawad Ahmad , Nikolaos Pitropakis , Baraq Ghaleb

A secure and reliable image encryption scheme is presented in this study. The encryption scheme hereby introduces a novel chaotic log-map, deep convolution neural network (CNN) model for key generation, and bit reversion operation for the…

Information Theory · Computer Science 2022-02-01 Uğur Erkan , Abdurrahim Toktas , Serdar Enginoğlu , Enver Karabacak , Dang N. H. Thanh

In practical applications, it is crucial that the drive-response systems, although identical in all respects, are synchronized at all times, even if there is noise present. In this work, we test the stability and robustness of three…

Cryptography and Security · Computer Science 2025-10-03 N. A. Anagnostopoulos , K. Konstantinidis , A. N. Miliou , S. G. Stavrinides

We study the spatio-temporal behavior of simple coupled map lattices with periodic boundary conditions. The local dynamics is governed by two maps, namely, the sine circle map and the logistic map respectively. It is found that even though…

Condensed Matter · Physics 2009-10-31 Bikash Chandra Gupta , P. A. Sreeram , S. B. Lee

Fairly recently, a new encryption scheme for embedded systems based on continuous third-order hyperbolic sine chaotic system was proposed by Z. Lin et al. The cryptosystem's main objective is to provide a faster algorithm with lowest…

Cryptography and Security · Computer Science 2021-06-21 Imad El Hanouti , Hakim El Fadili , Khalid Zenkouar

In this letter, we show that coherent structures are related to folds of horseshoes which are present in chaotic systems. We develop techniques that allow us to construct coherent structures by manipulating folds in three prototypical…

chao-dyn · Physics 2008-02-03 Troy Shinbrot , J. M. Ottino

Chaotic systems play a key role in modern image encryption due to their sensitivity to initial conditions, ergodicity, and complex dynamics. However, many existing chaos-based encryption methods suffer from vulnerabilities, such as…

Cryptography and Security · Computer Science 2025-10-15 Weixuan Li , Guang Yu , Quanjun Li , Junhua Zhou , Jiajun Chen , Yihang Dong , Mengqian Wang , Zimeng Li , Changwei Gong , Lin Tang , Xuhang Chen

A route to chaos is studied in 3-dimensional maps of logistic type. Mechanisms of period doubling for invariant closed curves (ICC) are found for specific 3-dimensional maps. These bifurcations cannot be observed for ICC in the…

Chaotic Dynamics · Physics 2007-05-23 Daniele Fournier-Prunaret , Ricardo Lopez-Ruiz , Abdel-Kaddous Taha

In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to simple harmonic perturbations. It is…

chao-dyn · Physics 2009-10-28 Robert Mettin , Thomas Kurz

It is of great significance to identify the characteristics of time series to qualify their similarity. We define six types of triadic time-series motifs and investigate the motif occurrence profiles extracted from logistic map, chaotic…

Physics and Society · Physics 2022-08-23 Wen-Jie Xie , Rui-Qi Han , Wei-Xing Zhou

Unimodal maps have been broadly used as a base of new encryption strategies. Recently, a stream cipher has been proposed in the literature, whose keystream is basically a symbolic sequence of the (one-parameter) logistic map or of the tent…

Chaotic Dynamics · Physics 2013-10-29 David Arroyo , Gonzalo Alvarez , Jose Maria Amigo , Shujun Li

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

Utilizing complex dynamics of chaotic maps and systems in encryption was studied comprehensively in the past two and a half decades. In 1989, Fridrich's chaotic image encryption scheme was designed by iterating chaotic position permutation…

Cryptography and Security · Computer Science 2016-10-11 Eric Yong Xie , Chengqing Li , Simin Yu , Jinhu Lü
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