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Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · Physics 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

We report on an ultra-high-frequency (> 1 GHz), piecewise-linear chaotic system designed from low-cost, commercially available electronic components. The system is composed of two electronic time-delayed feedback loops: A primary analog…

Chaotic Dynamics · Physics 2015-06-11 Seth D. Cohen , Damien Rontani , Daniel J. Gauthier

Chaotic maps are very important for establishing chaos-based image encryption systems. This paper introduces a coupling chaotic system based on a certain unit transform, which can combine any two 1D chaotic maps to generate a new one with…

Cryptography and Security · Computer Science 2019-09-19 Guozhen Hu , Baobin Li

Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach [2], it is verified that the…

Chaotic Dynamics · Physics 2014-06-18 Marat Akhmet , Ismail Rafatov , Mehmet Onur Fen

Until now, most memristor-based chaotic circuits proposed in the literature are based on mathematical models which assume ideal characteristics such as piece-wise linear or cubic non-linearities. The idea, illustrated here and originating…

Chaotic Dynamics · Physics 2015-09-02 L. V. Gambuzza , L. Fortuna , M. Frasca , E. Gale

In this paper, we introduce a hybrid chaos map for image encryption method with high sensitivity. This new map is sensitive to small changes in the starting point and also in control parameters which result in having more computational…

Cryptography and Security · Computer Science 2021-11-01 Roghayeh Hosseinzadeh , Yavar Khedmati , Reza Parvaz

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

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

The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous, being furthermore likely to induce instabilities and with…

Chaotic Dynamics · Physics 2019-10-31 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Internet communication systems involving cryptography and data hiding often require billions of random numbers. In addition to the speed of the algorithm, the quality of the pseudo-random number generator and the ease of its implementation…

Cryptography and Security · Computer Science 2017-06-28 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux

We present a new theoretical information-geometric framework (IGAC, Information Geometrodynamical Approach to Chaos) suitable to characterize chaotic dynamical behavior of arbitrary complex systems.

Mathematical Physics · Physics 2016-02-11 Carlo Cafaro

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

The letter proposes a procedure for generation and control chaotic beats in a dynamical system being initially in the periodic state. The dynamical system describes a simple nonlinear optical process -- second-harmonic generation of light.…

Chaotic Dynamics · Physics 2015-06-26 I. Sliwa , P. Szlachetka , K. Grygiel

Guaranteeing the security of information transmitted through the Internet, against passive or active attacks, is a major concern. The discovery of new pseudo-random number generators with a strong level of security is a field of research in…

Cryptography and Security · Computer Science 2015-03-19 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

Digital implementations of chaotic systems often suffer from inherent degradation, limiting their long-term performance and statistical quality. To address this challenge, we propose a novel four-stage synchronized piecewise linear chaotic…

Chaotic Dynamics · Physics 2025-07-08 Ricardo Francisco Martinez-Gonzalez

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

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

Dynamic and non-linear systems are emerging as potential candidates for random bit generation. In this context, chaotic systems, which are both dynamic and stochastic, are particularly suitable. This paper introduces a new continuous…

Systems and Control · Electrical Eng. & Systems 2023-01-09 Ngoc T. Nguyen , Toan Q. Bui , Ghyslain Gagnon , Pascal Giard , Georges Kaddoum

Controlling chaos caused by the current-driven ion acoustic instability is attempted using the delayed continuous feedback method, i.e., the time-delay auto synchronization (TDAS) method introduced by Pyragas [Phys. Lett. A 170 (1992)…

Plasma Physics · Physics 2007-05-23 Takao Fukuyama , Christian Wilke , Yoshinobu Kawai

One of the most important and practical researches which has been considered by researchers is creating secure environments for information exchanges. Due to their structures, chaos systems are efficient tools in the are of data…

Cryptography and Security · Computer Science 2021-10-29 R. Parvaz , Y. Khedmati , Y. Behroo