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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

Error function analysis is an effective attack against chaotic cryptograph [PRE 66, 065202(R) (2002)]. The basin structure of the error function is crucial for determining the security of chaotic cryptosystems. In the present paper the…

Chaotic Dynamics · Physics 2015-06-26 Guoning Tang , Shihong Wang , Huaping Lu , Gang Hu

A new framework for information hiding security, called chaos-security, has been proposed in a previous study. It is based on the evaluation of unpredictability of the scheme, whereas existing notions of security, as stego-security, are…

Cryptography and Security · Computer Science 2015-03-17 Christophe Guyeux , Nicolas Friot , Jacques M. Bahi

Providing security in the transmission of images and other multimedia data has become one of the most important scientific and practical issues. In this paper, a method for compressing and encryption images is proposed, which can safely…

Multimedia · Computer Science 2022-08-25 Mahdi Shariatzadeh , Mahdi Eftekhari , Mohammad Javad Rostami

Stabilizing unstable periodic orbits in a chaotic invariant set not only reveals information about its structure but also leads to various interesting applications. For the successful application of a chaos control scheme, convergence speed…

Adaptation and Self-Organizing Systems · Physics 2016-10-10 Christian Bick , Marc Timme , Christoph Kolodziejski

We have found stable chaotic solutions for optomechanical systems coupled with a Two-Level System or qubit. In this system methods have been found which can be used to Tune in and out of Chaos as well as various n-period motions. This…

Quantum Physics · Physics 2021-03-02 Manik Kapil , Amarendra K. Sarma

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

Chaotic synchronization is generally extremely sensitive to the presence of noise and other inference in the channel. Is this sensitivity a fundamental property of chaotic synchronization or is it related to the choice of synchronization…

Chaotic Dynamics · Physics 2007-05-23 A. S. Dmitriev , M. Hasler , G. Kassian , A. D. Khilinsky

This paper aims to create a secure environment for networked control systems composed of multiple dynamic entities and computational control units via networking, in the presence of disclosure attacks. In particular, we consider the…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Yamin Yan , Zhiyong Chen , Vijay Varadharajan

The rise of digital medical imaging, like MRI and CT, demands strong encryption to protect patient data in telemedicine and cloud storage. Chaotic systems are popular for image encryption due to their sensitivity and unique characteristics,…

Cryptography and Security · Computer Science 2025-10-14 Junhua Zhou , Quanjun Li , Weixuan Li , Guang Yu , Yihua Shao , Yihang Dong , Mengqian Wang , Zimeng Li , Changwei Gong , Xuhang Chen

Due to the strong correlation between adjacent pixels, most image encryption schemes perform multiple rounds of confusion and diffusion to protect the image against attacks. Such operations, however, are time-consuming, cannot meet the…

Cryptography and Security · Computer Science 2024-08-28 Dong Jiang , Zhen Yuan , Wen-xin Li , Liang-liang Lu

Since John von Neumann suggested utilizing Logistic map as a random number generator in 1947, a great number of encryption schemes based on Logistic map and/or its variants have been proposed. This paper re-evaluates the security of an…

Cryptography and Security · Computer Science 2016-10-03 Yuansheng Liu , Hua Fan , Eric Yong Xie , Ge Cheng , Chengqing Li

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

Visual Cryptography is a special encryption technique to hide information in images, which divide secret image into multiple layers. Each layer holds some information. The receiver aligns the layers and the secret information is revealed by…

Cryptography and Security · Computer Science 2010-04-27 Sozan Abdulla

The Arnold Cat Map (ACM) is a popular chaotic map used in image encryption. Chaotic maps are known for their sensitivity to initial conditions and their ability to mix, or rearrange, pixels. However, ACM is periodic, and the period is…

Cryptography and Security · Computer Science 2023-03-31 Anthony O'Dea

This paper describes the analysis and practical implementation of synchronized hyperchaotic maps for private communication of digital data. The data is transmitted using chaotic masking and demodulated using a matched filter (integrate and…

Signal Processing · Electrical Eng. & Systems 2018-08-21 Xinyao Tang , Soumyajit Mandal

A new image encryption scheme using the advanced encryption standard (AES), a chaotic map, a genetic operator, and a fuzzy inference system is proposed in this paper. In this work, plain images were used as input, and the required security…

Cryptography and Security · Computer Science 2023-11-06 Mahdi Shariatzadeh , Mohammad Javad Rostami , Mahdi Eftekhari

In 2016, Hou and Wang introduced the concept of multiple mappings based on iterated function system, which is an important branch of fractal theory. In this paper, we introduce the definitions of sensitivity, accessibility, and Kato's chaos…

Dynamical Systems · Mathematics 2024-06-21 Yingcui Zhao

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

We present a method of control of chaos in area-preserving maps. This method gives an explicit expression of a control term which is added to a given area-preserving map. The resulting controlled map which is a small and suitable…

Chaotic Dynamics · Physics 2016-11-23 Cristel Chandre , Michel Vittot , Guido Ciraolo
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