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It is an increasingly important problem to study conditions on the structure of a network that guarantee a given behavior for its underlying dynamical system. In this paper we report that a Boolean network may fall within the chaotic…

Molecular Networks · Quantitative Biology 2008-11-04 Winfried Just , German Enciso

In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based…

Information Theory · Computer Science 2017-12-06 R. Parvaz , M. Zarebnia

Spatiotemporal chaos of a two-dimensional one-way coupled map lattice is used for chaotic cryptography. The chaotic outputs of many space units are used for encryption simultaneously. This system shows satisfactory cryptographic properties…

Chaotic Dynamics · Physics 2018-01-17 Shihong Wang , Weiping Ye , Huaping Lu , Jinyu Kuang , Jinghua Li , Yunlun Luo , Gang Hu

Digital circuits based on residue number systems have been considered to produce a pseudo-random behavior. The present work is an initial step towards the complete implementation of those systems for similar applications using quantum…

Quantum Physics · Physics 2025-06-03 Andrea Ceschini , Antonello Rosato , Massimo Panella

Control-based continuation (CBC) is an experimental method that can reveal stable and unstable dynamics of physical systems. It extends the path-following principles of numerical continuation to experiments, and provides systematic…

Dynamical Systems · Mathematics 2023-01-18 Mark Blyth , Krasimira Tsaneva-Atanasova , Lucia Marucci , Ludovic Renson

Ever since the link between nonlinear science and cryptography became apparent, the problem of applying chaotic dynamics to the construction of cryptographic systems has gained a broad audience and has been the subject of thousands of…

Cryptography and Security · Computer Science 2024-05-07 Samuel Everett

Chaos and its applications in the field of secure communications have attracted a lot of attention. Chaos-based pseudo-random number generators are critical to guarantee security over open networks as the Internet. We have previously…

Cryptography and Security · Computer Science 2016-11-17 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos…

Chaotic Dynamics · Physics 2015-05-13 Donatello Materassi , Michele Basso

With meteoric developments in communication systems and data storage technologies, the need for secure data transmission is more crucial than ever. The level of security provided by any cryptosystem relies on the sensitivity of the private…

Cryptography and Security · Computer Science 2020-11-03 Unnikrishnan Menon , Anirudh Rajiv Menon , Atharva Hudlikar

We show that the recently introduced operator fidelity metric provides a natural tool to investigate the cross-over to quantum chaotic behaviour. This metric is an information-theoretic measure of the global stability of a unitary evolution…

Quantum Physics · Physics 2015-05-13 Paolo Giorda , Paolo Zanardi

In this paper we introduce a new chaotic stream cipher Mmohocc which utilizes the fundamental chaos characteristics. The designs of the major components of the cipher are given. Its cryptographic properties of period, auto- and…

Cryptography and Security · Computer Science 2009-11-11 Xiaowen Zhang , Li Shu , Ke Tang

Chaos in classical systems has been studied in plenty over many years. Although the search for chaos in quantum systems has been an area of prominent research over the last few decades, the detailed analysis of many inherently chaotic…

Quantum Physics · Physics 2020-01-14 Aditi Pradeep , S. Anupama , C. Sudheesh

Blockchain and distributed ledger technologies rely on distributed consensus algorithms. In recent years many consensus algorithms and protocols have been proposed; most of them are for permissioned blockchain networks. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-19 Shiv Sondhi , Sherif Saad , Kevin Shi , Mohammad Mamun , Issa Traore

Advanced Encryption Standard (AES) algorithm is considered as a secured algorithm. Still, some security issues lie in the S-Box and the key used. In this paper, we have tried to give focus on the security of the key used. Here, the proposed…

Cryptography and Security · Computer Science 2013-07-12 Chittaranjan Pradhan , Ajay Kumar Bisoi

The combinative applications of one-way coupled map lattice (OCML) and some simple algebraic operations have demonstrated to be able to construct the best known chaotic cryptosystem with high practical security, fast encryption speed, and…

Chaotic Dynamics · Physics 2007-05-23 Jiantao Zhou , Wenjiang Pei , Jie Huang , Aiguo Song , Zhenya He

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them encountered many problems such as small key space and weak security. In the present paper, a new kind of chaotic cryptosystem based on…

Chaotic Dynamics · Physics 2010-10-22 S. Behnia , A. Akhshani , A. Akhavan , H. Mahmodi

We consider the quantum-classical correspondence from a classical perspective by discussing the potential for chaotic systems to support behaviors normally associated with quantum mechanical systems. Our main analytical tool is a chaotic…

Quantum Physics · Physics 2017-10-09 Kevin M. Short , Matthew A. Morena

A novel cryptography method based on the Lorenz's attractor chaotic system is presented. The proposed algorithm is secure and fast, making it practical for general use. We introduce the chaotic operation mode, which provides an interaction…

Cryptography and Security · Computer Science 2012-01-17 Anderson Gonçalves Marco , Alexandre Souto Martinez , Odemir Martinez Bruno

A new approach is proposed to the quantitative estimation of the complexity of multidimensional discrete sequences in terms of the shapes of their trajectories in the extended space of states. This approach is based on the study of the…

Data Analysis, Statistics and Probability · Physics 2015-10-28 A. V. Makarenko