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We proposed the deep zoom analysis of the composition of the logistic map and the tent map, which are well-known discrete unimodal chaotic maps. The deep zoom technique transforms each point of a given chaotic orbit by removing its first…

Cryptography and Security · Computer Science 2021-11-10 João Pedro do Valle Alvarenga , Jeaneth Machicao , Odemir Bruno

In this paper an algorithm for multi-color image compression-encryption is introduced. For compression step fuzzy transform based on exponential b-spline function is used. In encryption step, a novel combination chaotic system based on Sine…

Cryptography and Security · Computer Science 2017-09-07 M. Zarebnia , R. Kianfar , R. Parvaz

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

The efficient detection of chaotic behavior in orbits of a complex dynamical system is an active domain of research. Several indicators have been proposed in the past, and new ones have recently been developed in view of improving the…

Dynamical Systems · Mathematics 2023-07-05 A. Bazzani , M. Giovannozzi , C. E. Montanari , G. Turchetti

New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined oscillation phases at least on short time intervals. For data…

Chaotic Dynamics · Physics 2017-08-10 Olga B. Isaeva , Alexey Yu. Jalnine , Sergey P. Kuznetsov

In practical applications, it is crucial that the drive-response systems, although identical in all respects, are synchronized at all times, even if there is noise present. In this work, we test the stability and robustness of three…

Cryptography and Security · Computer Science 2025-10-03 N. A. Anagnostopoulos , K. Konstantinidis , A. N. Miliou , S. G. Stavrinides

Optical chaotic comb, possessing the key metrics of intrinsic random amplitude, phase, and frequency modulation of comb lines, emerges as a novel chaotic source in information systems for coherence tomography, parallel ranging, and secure…

Strongly Correlated Electrons · Physics 2025-05-30 Ruitong Sun , Guanqi Ye , Fusheng Ma

The Internet of Things (IoT) has brought new ways for humans and machines to communicate with each other over the internet. Though sensor-driven devices have largely eased our everyday lives, most IoT infrastructures have been suffering…

Cryptography and Security · Computer Science 2022-03-31 Ziaur Rahman , Xun Yi , Mustain Billah , Mousumi Sumi , Adnan Anwar

In this paper, we introduce a novel discrete chaotic map named zigzag map that demonstrates excellent chaotic behaviors and can be utilized in Truly Random Number Generators (TRNGs). We comprehensively investigate the map and explore its…

Dynamical Systems · Mathematics 2012-06-06 Hamid Nejati , Ahmad Beirami , Warsame H. Ali

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

A large number of analog chaos-based secure communication systems have been proposed since the early 1990s exploiting the technique of chaos synchronization. A brief survey of these chaos-based cryptosystems and of related cryptanalytic…

Chaotic Dynamics · Physics 2010-06-23 Shujun Li , Gonzalo Alvarez , Zhong Li , Wolfgang A. Halang

In this paper a new type of chaotic system based on sin and logistic systems is introduced. Also the behavior of this new system is studied by using various tests. The results of these tests indicate the appropriate behavior for the…

Dynamical Systems · Mathematics 2021-01-26 Reza Parvaz

A new self-synchronizing stream cipher (SSSC) is proposed based on one-way and nearest neighbor coupled integer maps. Some ideas of spatiotemporal chaos synchronization and chaotic cryptography are applied in this new SSSC system. Several…

Chaotic Dynamics · Physics 2007-05-23 Shihong Wang , Huaping Lv , Gang Hu

Recent studies have shown that chaotic maps are well-suited for applications requiring unpredictable behaviour, making them a valuable tool for enhancing unpredictability and complexity. A method is developed using 3D parametric equations…

Chaotic Dynamics · Physics 2024-10-25 Harisankar R , Abhishek Kaushik , Sishu Shankar Muni

Confidentiality and Integrity are two paramount objectives in the evaluation of information and communication technology. In this paper, we propose an arithmetic approach for designing asymmetric key cryptography. Our method is based on the…

Cryptography and Security · Computer Science 2020-05-18 Md. Helal Ahmed , Jagmohan Tanti , Sumant Pushp

The invariance of the Lyapunov exponent of a chaotic signal as it propagates along a wireless transmission channel provides a theoretical base for the application of chaos in wireless communication. In additive Gaussian channel, the chaotic…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Hai-Peng Ren , Wu-Yun Zheng , Celso Grebogi

In this paper is proposed a novel steganographic scheme based on chaotic iterations. This research work takes place into the information hiding security fields. We show that the proposed scheme is stego-secure, which is the highest level of…

Cryptography and Security · Computer Science 2011-12-19 Nicolas Friot , Christophe Guyeux , Jacques M. Bahi

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

Chaotic iterations have been introduced on the one hand by Chazan, Miranker [5] and Miellou [9] in a numerical analysis context, and on the other hand by Robert [11] and Pellegrin [10] in the discrete dynamical systems framework. In both…

Chaotic Dynamics · Physics 2008-10-20 Jacques M. Bahi , Christophe Guyeux

Secure communication is a matter of genuine concern that includes means whereby entities can share information without a third party's interception. Key agreement protocols are one of the common approaches in which two or more parties can…

Cryptography and Security · Computer Science 2018-01-10 Nahid Yahyapoor , Hamed Yaghoobian , Manijeh Keshtgari