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In the recent world, security is a prime important issue, and encryption is one of the best alternative way to ensure security. More over, there are many image encryption schemes have been proposed, each one of them has its own strength and…

Cryptography and Security · Computer Science 2011-03-22 G. A. Sathishkumar , Dr. K. Bhoopathy bagan , Dr. N. Sriraam

We introduce a new analytical method, which allows to find out chaotic dynamics in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered as an example. The corresponding…

Dynamical Systems · Mathematics 2013-09-16 Nikita Begun , Sergey Kryzhevich

Chaos, or exponential sensitivity to small perturbations, appears everywhere in nature. Moreover, chaos is predicted to play diverse functional roles in living systems. A method for detecting chaos from empirical measurements should…

Quantitative Methods · Quantitative Biology 2020-01-13 Daniel Toker , Friedrich T. Sommer , Mark D'Esposito

Traditionally, chaotic systems are built on the domain of infinite precision in mathematics. However, the quantization is inevitable for any digital devices, which causes dynamical degradation. To cope with this problem, many methods were…

Chaotic Dynamics · Physics 2016-09-27 Qianxue Wang , Simin Yu , Chengqing Li , Jinhu Lü , Xiaole Fang , Christophe Guyeux , Jacques M. Bahi

This paper presents a new procedure of generating hash functions which can be evaluated using some mathematical tools. This procedure is based on discrete chaotic iterations. First, it is mathematically proven, that these discrete chaotic…

Cryptography and Security · Computer Science 2008-11-18 Jacques M. Bahi , Christophe Guyeux

Investigating how to construct a secure hash algorithm needs in-depth study, as various existing hash functions like the MD5 algorithm have recently exposed their security flaws. At the same time, hash function based on chaotic theory has…

Cryptography and Security · Computer Science 2017-06-27 Zhuosheng Lin , Christophe Guyeux , Simin Yu , Qianxue Wang

Recently, a chaotic cryptographic scheme based on composition maps was proposed. This paper studies the security of the scheme and reports the following findings: 1) the scheme can be broken by a differential attack with…

Cryptography and Security · Computer Science 2015-05-13 Chengqing Li , David Arroyo , Kwok-Tung Lo

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

This paper describes the security weakness of a recently proposed improved chaotic encryption method based on the modulation of a signal generated by a chaotic system with an appropriately chosen scalar signal. The aim of the improvement is…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , F. Montoya , M. Romera , G. Pastor

In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based…

Information Theory · Computer Science 2017-12-06 R. Parvaz , M. Zarebnia

The increase in data traffic on the internet has significantly increased the relevance of data and image encryption. Among the techniques most used in cryptography, chaotic systems have received great attention due to their easy…

Cryptography and Security · Computer Science 2020-02-19 R. C. Gonzalez , E. G. Nepomuceno

Classical chaotic systems are distinguished by their sensitive dependence on initial conditions. The absence of this property in quantum systems has lead to a number of proposals for perturbation-based characterizations of quantum chaos,…

Quantum Physics · Physics 2007-05-23 A. J. Scott , Todd A. Brun , Carlton M. Caves , Ruediger Schack

In cryptography, block ciphers are the most fundamental elements in many symmetric-key encryption systems. The Cipher Block Chaining, denoted CBC, presents one of the most famous mode of operation that uses a block cipher to provide…

Chaotic Dynamics · Physics 2017-08-11 Abdessalem Abidi , Samar Tawbi , Christophe Guyeux , Belgacem Bouallègue , Mohsen Machhout

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of…

Quantum Physics · Physics 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

Lately, multimedia encryption has been the focus of attention in many researches. Recently, a large number of encryption algorithms has been presented to protect image contents.The main objective of modern image encryption schemes is to…

Cryptography and Security · Computer Science 2017-01-31 Hassan Noura , Lama Sleem , Raphaël Couturier

A security analysis of a recently proposed secure communication scheme based on the phase synchronization of chaotic systems is presented. It is shown that the system parameters directly determine the ciphertext waveform, hence it can be…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , F. Montoya , G. Pastor , M. Romera

A revised self-synchronizing stream cipher based on chaotic coupled maps is proposed. This system adds input and output functions aim to strengthen its security. The system performs basic floating-point analytical computation on real…

Chaotic Dynamics · Physics 2008-06-20 Shihong Wang , Gang Hu

A discrete-time discrete-value pseudo-chaotic encoder/decoder system is presented. The pseudo-chaotic module is a 3D discrete version of the well-known Lorenz dynamical system. Scaling and biasing transformations as well as natural number…

Cryptography and Security · Computer Science 2007-05-23 C. M. Gonzalez , H. A. Larrondo , C. A. Gayoso , L. J. Arnone , E. I. Boemo

In this paper we propose a multi-map orbit hopping chaotic stream cipher that utilizes the idea of spread spectrum mechanism for secure digital communications and fundamental chaos characteristics of mixing, unpredictable, and extremely…

Cryptography and Security · Computer Science 2007-05-23 Xiaowen Zhang , Li Shu , Ke Tang

Here, we introduce a novel method for obtaining chaotic dynamics based on the Montgomery conjecture for the pair correlation of zeros of the Riemann zeta function. Motivated by the conjecture, we present a recursive relation that reveals…

General Mathematics · Mathematics 2025-12-29 Zeraoulia Rafik , Alvaro Humberto Salas , Ayadi Souad
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