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Two-dimensional one-way coupled map lattices are used for cryptograph where multiple space units produce chaotic outputs in parallel. One of the outputs plays the role of driving for synchronization of the decryption system while the others…

Chaotic Dynamics · Physics 2015-06-26 Huaping Lu , Shihong Wang , Xiaowen Li , Guoning Tang , Jinyu Kuang , Weiping Ye , Gang Hu

In recent years, a variety of effective chaos-based image encryption schemes have been proposed. The typical structure of these schemes has the permutation and the diffusion stages performed alternatively. The confusion and diffusion effect…

Cryptography and Security · Computer Science 2007-05-23 Kwok-Wo Wong , Bernie Sin-Hung Kwok , Wing-Shing Law

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

Haar wavelet is one of the best mathematical tools in image cryptography and analysis. Because of the specific structure, this wavelet has the ability which is combined with other mathematical tools such as chaotic maps. The rational order…

Cryptography and Security · Computer Science 2017-01-16 Sodeif Ahadpour , Yaser Sadra , Meisam Sadeghi

Two mutually coupled chaotic diode lasers with individual external feedback, are shown to establish chaos synchronization in the low-frequency fluctuations regime. A third laser with identical external feedback but coupled unidirectionally…

Disordered Systems and Neural Networks · Physics 2007-05-23 Noam Gross , Einat Klein , Michael Rosenbluh , Wolfgang Kinzel , Lev Khaykovich , Ido Kanter

This paper describes the security weakness of a recently proposed secure communication method based on discrete-time chaos synchronization. We show that the security is compromised even without precise knowledge of the chaotic system used.…

Chaotic Dynamics · Physics 2007-05-23 Gonzalo Alvarez , Fausto Montoya , Miguel Romera , Gerardo Pastor

In ISNN'04, a novel symmetric cipher was proposed, by combining a chaotic signal and a clipped neural network (CNN) for encryption. The present paper analyzes the security of this chaotic cipher against chosen-plaintext attacks, and points…

Cryptography and Security · Computer Science 2007-12-19 Chengqing Li , Shujun Li , Dan Zhang , Guanrong Chen

The color-flavor transformation is a mathematical result that has applications to problems as diverse as lattice gauge theory, random network models, and dynamical systems. Several variants are described, and an outline of the proof is…

chao-dyn · Physics 2007-05-23 Martin R. Zirnbauer

The use of reverse time chaos allows the realization of hardware chaotic systems that can operate at speeds equivalent to existing state of the art while requiring significantly less complex circuitry. Matched filter decoding is possible…

Data Analysis, Statistics and Probability · Physics 2016-10-11 J. Phillip Bailey , Aubrey N. Beal , Robert N. Dean , Michael C. Hamilton

In the digital age, image encryption technology acts as a safeguard, preventing unauthorized access to images. This paper proposes an innovative image encryption scheme that integrates a novel 2D hyper-chaotic map with a newly developed…

Cryptography and Security · Computer Science 2025-11-06 Yiqi Tang

This paper analyzes the use of the logistic map for cryptographic applications. The most important characteristics of the logistic map are shown in order to prove the inconvenience of considering this map in the design of new chaotic…

Chaotic Dynamics · Physics 2008-05-29 David Arroyo , Gonzalo Alvarez , Veronica Fernandez

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

In a setup illuminated by chaotic light, we consider different schemes that enable to perform imaging by measuring second-order intensity correlations. The most relevant feature of the proposed protocols is the ability to perform plenoptic…

Pairs of numerically computed trajectories of a chaotic system may coalesce because of finite arithmetic precision. We analyse an example of this phenomenon, showing that it occurs surprisingly frequently. We argue that our model belongs to…

Chaotic Dynamics · Physics 2020-08-26 Bruce N. Roth , Michael Wilkinson

Recently, an image encryption scheme based on chaotic standard and logistic maps was proposed by Patidar et al. It was later reported by Rhouma et al. that an equivalent secret key can be reconstructed with only one known/chosen-plaintext…

Cryptography and Security · Computer Science 2009-12-21 Chengqing Li , Shujun Li , Kwok-Tung Lo

Color coding is an algorithmic technique used in parameterized complexity theory to detect "small" structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable,…

Computational Complexity · Computer Science 2019-01-14 Max Bannach , Till Tantau

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result,…

Chaotic Dynamics · Physics 2009-05-05 Prabhakar G. Vaidya

In this paper, a new approach for constructing integer domain chaotic systems (IDCS) is proposed, and its chaotic behavior is mathematically proven according to the Devaney's definition of chaos. Furthermore, an analog-digital hybrid…

Chaotic Dynamics · Physics 2016-08-31 Qianxue Wang , Simin Yu , Christophe Guyeux , Jacques Bahi , Xiaole Fang

We derive a set of spectral statistics whose power spectrum is characterized, in the case of chaotic quantum systems, by colored noise $1/f^{\gamma}$, where the integer parameter $\gamma$ critically depends on the specific energy-level…

Statistical Mechanics · Physics 2009-11-11 Luca Salasnich

In an era where global connectivity has become critical, satellite communication is essential for businesses, governments, and individuals. Widely used services with satellite communication such as climate change monitoring, military…

Cryptography and Security · Computer Science 2024-10-29 Farrukh Bin Rashid , Windhya Rankothge , Somayeh Sadeghi , Hesamodin Mohammadian , Ali Ghorbani
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