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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

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

This paper constructs two encryption methods using 2-D chaotic maps, Duffings and Arnold's cat maps respectively. Both of the methods are designed using message embedded scheme and are analyzed for their validity, for plaintext sensitivity,…

Cryptography and Security · Computer Science 2012-08-10 Mina Mishra , V. H. Mankar

Chaotic communications based on semiconductor lasers have aroused great research interest since 1990s. Physical-layer encryption using chaotic lasers is an alternative to transmit message rapidly and confidentially. There are some practical…

Cryptography and Security · Computer Science 2010-10-26 Qingchun Zhao , Hongxi Yin

We review recent progress in applying information- and computation-theoretic measures to describe material structure that transcends previous methods based on exact geometric symmetries. We discuss the necessary theoretical background for…

Materials Science · Physics 2014-11-12 Dowman P. Varn , James P. Crutchfield

Recently two encryption schemes were proposed by combining circular bit shift and XOR operations, under the control of a pseudorandom bit sequence (PRBS) generated from a chaotic system. This paper studies the security of these two…

Chaotic Dynamics · Physics 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo

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

Networks of chaotic coupled maps are considered as string and language generators. It is shown that such networks can be used as encrypting systems where the ciphertext contains information about the evolution of the network and also about…

Chaotic Dynamics · Physics 2009-11-07 P. Garcia , A. Parravano , M. G. Cosenza , J. Jimenez , A. Marcano

Recently, a colour image encryption algorithm based on chaos was proposed by cascading two position permutation operations and one substitution operation, which are all determined by some pseudo-random number sequences generated by…

Cryptography and Security · Computer Science 2012-03-27 Chengqing Li , Yu Zhang , Rong Ou , Kwok-Wo Wong

Chaos is a phenomenon that attracted much attention in the past ten years. In this paper, we analyze chaos-based signal processing, and proposed a chaos processor to take advantage of chaos phenomenon. We also analyzed and demonstrated two…

Emerging Technologies · Computer Science 2017-03-21 F Li

Recently, a chaos-based image encryption algorithm called MCKBA (Modified Chaotic-Key Based Algorithm) was proposed. This paper analyzes the security of MCKBA and finds that it can be broken with a differential attack, which requires only…

Cryptography and Security · Computer Science 2016-10-04 Chengqing Li , Michael Z. Q. Chen , Kwok-Tung Lo

In this paper, we propose a novel conservative chaotic standard map-driven dynamic DNA coding (encoding, addition, subtraction and decoding) for the image encryption. The proposed image encryption algorithm is a dynamic DNA coding algorithm…

Cryptography and Security · Computer Science 2023-10-24 Vinod Patidar , Gurpreet Kaur

The emergence of quantum computing has introduced unprecedented security challenges to conventional cryptographic systems, particularly in the domain of optical communications. This research addresses these challenges by innovatively…

An analysis of a recently proposed cryptosystem based on chaotic oscillators and feedback inversion is presented. It is shown how the cryptosystem can be broken when Duffing's oscillator is considered. Some implementation problems of the…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , L. Hernandez , F. Montoya , J. Munoz

Chaotic iterations have been introduced on the one hand by Chazan, Mi- ranker [6] and Miellou [10] in a numerical analysis context, and on the other hand by Robert [12] and Pellegrin [11] in the discrete dynamical systems frame- work. In…

Chaotic Dynamics · Physics 2008-10-28 Jacques M. Bahi , Christophe Guyeux

We generate new hierarchy of many-parameter family of maps of the interval [0,1] with an invariant measure, by composition of the chaotic maps of reference [1]. Using the measure, we calculate Kolmogorov-Sinai entropy, or equivalently…

Chaotic Dynamics · Physics 2015-06-26 M. A. Jafarizadeh , S. Behnia , S. Khorram , H. Naghshara

This paper introduces a new framework for data hiding security. Contrary to the existing ones, the approach introduced here is not based on probability theory. In this paper, a scheme is considered as secure if its behavior is proven…

Cryptography and Security · Computer Science 2010-05-06 Jacques M. Bahi , Christophe Guyeux

We discuss two properties making a deterministic algorithm suitable to generate a pseudo random sequence of numbers: high value of Kolmogorov-Sinai entropy and high-dimensionality. We propose the multi dimensional Anosov symplectic (cat)…

Chaotic Dynamics · Physics 2009-11-11 Massimo Falcioni , Luigi Palatella , Simone Pigolotti , Angelo Vulpiani

The logistic map is one of the simple systems exhibiting order to chaos transition. In this work we have investigated the possibility of using the logistic map in the chaotic regime ({\sc logmap}) for a pseudo random number generator. To…

Condensed Matter · Physics 2007-05-23 S. C. Phatak , S. Suresh Rao

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