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We propose a new cryptosystem by combing the Lissajous map, which is the asymptotic model of deterministic randomness, with the one-way coupled map lattice (OCML) system. The key space, the encryption efficiency, and the security are…

Chaotic Dynamics · Physics 2009-11-11 Jiantao Zhou , Wenjiang Pei , Kai Wang , Jie Huang , Zhenya He

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

In this paper, we study the impact of stealthy attacks on the Cyber-Physical System (CPS) modeled as a stochastic linear system. An attack is characterised by a malicious injection into the system through input, output or both, and it is…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Tianju Sui , Yilin Mo , Damián Marelli , Ximing Sun , Minyue Fu

The synchronization behavior of delay coupled chaotic smooth unimodal maps over a ring network with stochastic switching of links at every time step is reported in this paper. It is observed that spatiotemporal synchronization never appears…

Chaotic Dynamics · Physics 2016-05-25 Mayurakshi Nag , Swarup Poria

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized…

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

Security is a key problem for the transmission, interchange and storage process of multimedia systems and applications. In 2018, M. Li et al. proposed in-depth security analysis on an image encryption algorithm based on a first-order…

Cryptography and Security · Computer Science 2021-09-27 Sheng Liu , Chengqing Li , Qiao Hu

In recent decades, the RAFT distributed consensus algorithm has become a main pillar of the distributed systems ecosystem, ensuring data consistency and fault tolerance across multiple nodes. Although the fact that RAFT is well known for…

Cryptography and Security · Computer Science 2026-01-05 Tamer Afifi , Abdelfatah Hegazy , Ehab Abousaif

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high quality synchronization. The results are important for obtaining…

Chaotic Dynamics · Physics 2015-09-25 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

Chaotic systems have been broadly exploited through the last two decades to build encryption methods. Recently, two new image encryption schemes have been proposed, where the encryption process involves a permutation operation and an…

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

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

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

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an…

Chaotic Dynamics · Physics 2009-11-13 O. Alvarez-Llamoza , M. G. Cosenza

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on…

Systems and Control · Computer Science 2018-04-23 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

Chaos-based approaches are frequently proposed in information hiding, but without obvious justification. Indeed, the reason why chaos is useful to tackle with discretion, robustness, or security, is rarely elucidated. This research work…

Discrete Mathematics · Computer Science 2011-12-08 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

In this paper, we propose a transmission scheme that achieves information theoretic security, without making assumptions on the eavesdropper's channel. This is achieved by a transmitter that deliberately introduces synchronization errors…

Information Theory · Computer Science 2015-01-27 Jason Castiglione , Aleksandar Kavcic

We present CryptoChaos, a novel hybrid cryptographic framework that synergizes deterministic chaos theory with cutting-edge cryptographic primitives to achieve robust, post-quantum resilient encryption. CryptoChaos harnesses the intrinsic…

Cryptography and Security · Computer Science 2025-04-14 Kevin Song , Noorullah Imran , Jake Y. Chen , Allan C. Dobbins

A precise definition of chaos for discrete processes based on iteration already exists. We shall first reformulate it in a more general frame, taking into account the fact that discrete chaotic behavior is neither necessarily based on…

Dynamical Systems · Mathematics 2008-06-01 Andrei Vieru

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