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Chaotic synchronization performs poorly in noisy environments, with the main drawback being that the coherent receiver cannot be implemented in realistic communication channels. In this paper, we focus our study on a promising communication…

Information Theory · Computer Science 2013-02-18 Georges Kaddoum , Francois Gagnon , Denis Couillard

Hash functions are cryptographic tools, which are notably involved in integrity checking and password storage. They are of primary importance to improve the security of exchanges through the Internet. However, as security flaws have been…

Cryptography and Security · Computer Science 2016-08-23 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

Deterministic chaos is phenomenon from nonlinear dynamics and it belongs to greatest advances of twentieth-century science. Chaotic behavior appears apart of mathematical equations also in wide range in observable nature, so as in there…

Computational Physics · Physics 2020-12-15 Radim Pánis , Martin Kološ , Zdeněk Stuchlík

Recently, a chaotic image encryption algorithm based on perceptron model was proposed. The present paper analyzes security of the algorithm and finds that the equivalent secret key can be reconstructed with only one pair of…

Cryptography and Security · Computer Science 2011-11-08 Yu Zhang , Chengqing Li , Qin Li , Dan Zhang , Shi Shu

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

This paper describes how to determine the parameter values of the chaotic Lorenz system used in a two-channel cryptosystem. The geometrical properties of the Lorenz system are used firstly to reduce the parameter search space, then the…

Chaotic Dynamics · Physics 2016-11-17 A. B. Orue , G. Alvarez , M. Romera , G. Pastor , F. Montoya , Shujun Li

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

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

Since the 1990s chaotic cat maps are widely used in data encryption, for their very complicated dynamics within a simple model and desired characteristics related to requirements of cryptography. The number of cat map parameters and the map…

Chaotic Dynamics · Physics 2012-05-16 Yue Wu , Sos Agaian , Joseph P. Noonan

In this paper, a novel image encryption algorithm, which involves a chaotic block image scrambling followed by a two-dimensional (2-D) discrete linear chirp transform, is proposed. The definition of the 2-D discrete linear chirp transform…

Image and Video Processing · Electrical Eng. & Systems 2018-07-10 Osama A. S. Alkishriwo

Quantum chaotic systems are often defined via the assertion that their spectral statistics coincides with, or is well approximated by, random matrix theory. In this paper we explain how the universal content of random matrix theory emerges…

High Energy Physics - Theory · Physics 2021-08-25 Alexander Altland , Julian Sonner

This paper focuses on hyperchaotic-map construction and proposes a 3D-Cascading Crossing Coupling framework (3D-CCC), which cascades, crosses, and couples three one-dimensional chaotic maps to form a three-dimensional hyperchaotic system.…

Multimedia · Computer Science 2026-02-26 Jilei Sun , Dianhong Wu

This work analyzes the security weakness of a recently proposed communication method based on chaotic modulation and masking using synchronization of two chaotic systems with different orders. It is shown that its application to secure…

Chaotic Dynamics · Physics 2007-10-23 G. Alvarez , L. Hernandez , J. Munoz , F. Montoya , Shujun Li

The proposed hybrid message embedded scheme consists of hill cipher combined with message embedded chaotic scheme. Message-embedded scheme using non-linear feedback shift register as non-linear function and 1-D logistic map as chaotic map…

Cryptography and Security · Computer Science 2012-09-13 Mina Mishra , V. H. Mankar

Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize…

Chaotic Dynamics · Physics 2009-11-13 Johannes Kestler , Evi Kopelowitz , Ido Kanter , Wolfgang Kinzel

It has been proposed to make practical use of chaos in communication, in enhancing mixing in chemical processes and in spreading the spectrum of switch-mode power suppies to avoid electromagnetic interference. It is however known that for…

chao-dyn · Physics 2009-10-31 Soumitro Banerjee , James A. Yorke , Celso Grebogi

We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to its nearest neighbors within a finite range. Depending upon the coupling strength and coupling radius, we…

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

Nowadays, the chaotic cryptosystems are gaining more attention due to their efficiency, the assurance of robustness and high sensitivity corresponding to initial conditions. In literature, on one hand there are many encryption algorithms…

Cryptography and Security · Computer Science 2020-06-23 Temadher Alassiry Al-Maadeed , Iqtadar Hussain , Amir Anees , M. T. Mustafa

In this paper, a scheme for the encryption and decryption of colored images by using the Lorenz system and the discrete cosine transform in two dimensions (DCT2) is proposed. Although chaos is random, it has deterministic features that can…

Cryptography and Security · Computer Science 2017-01-12 Mohammed Alsaedi