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A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

Chaotic Dynamics · Physics 2015-07-02 A. V. Makarenko

In this paper, chaotic block image permutation and XOR operation are performed to achieve image encryption. The studied method of encryption makes use of chaotic systems properties for secure and speed image encryption. Firstly, the…

Image and Video Processing · Electrical Eng. & Systems 2018-09-03 Raneem A. Aboughalia , Osama A. S. Alkishriwo

We compute the dispersion laws of chaotic periodic systems using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, we also include complex…

Condensed Matter · Physics 2009-10-22 P. Leboeuf , A. Mouchet

Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby revealing the maps to be…

Chaotic Dynamics · Physics 2010-10-13 Thomas L. Curtright , Cosmas K. Zachos

This work presents the hardware demonstrator of a secure encryption system based on synchronised Chua chaotic circuits. In particular, the presented encryption system comprises two Chua circuits that are synchronised using a dedicated…

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

This paper describes how to determine the parameter values of the chaotic Lorenz system used in a two-channel cryptosystem. The geometrical properties of the Lorenz system are used firstly to reduce the parameter search space, then the…

Chaotic Dynamics · Physics 2016-11-17 A. B. Orue , G. Alvarez , M. Romera , G. Pastor , F. Montoya , Shujun Li

This paper studies distributional chaos in non-autonomous discrete systems generated by given sequences of maps in metric spaces. In the case that the metric space is compact, it is shown that a system is Li-Yorke{\delta}-chaotic if and…

Dynamical Systems · Mathematics 2018-03-14 Hua Shao , Yuming Shi , Hao Zhu

Chaos is a phenomenon that attracted much attention in the past ten years. In this paper, we analyze chaos-based signal processing, and proposed a chaos processor to take advantage of chaos phenomenon. We also analyzed and demonstrated two…

Emerging Technologies · Computer Science 2017-03-21 F Li

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel

This paper describes the security weakness of a recently proposed improved chaotic encryption method based on the modulation of a signal generated by a chaotic system with an appropriately chosen scalar signal. The aim of the improvement is…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , F. Montoya , M. Romera , G. Pastor

The logistic map is one of the simple systems exhibiting order to chaos transition. In this work we have investigated the possibility of using the logistic map in the chaotic regime ({\sc logmap}) for a pseudo random number generator. To…

Condensed Matter · Physics 2007-05-23 S. C. Phatak , S. Suresh Rao

The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski , Artur Grabski

We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled chaotic lasers establish isochronal synchronization, while a…

Statistical Mechanics · Physics 2009-11-11 Einat Klein , Noam Gross , Evi Kopelowitz , Michael Rosenbluh , Lev Khaykovich , Wolfgang Kinzel , Ido Kanter

Fairly recently, a new encryption scheme for embedded systems based on continuous third-order hyperbolic sine chaotic system was proposed by Z. Lin et al. The cryptosystem's main objective is to provide a faster algorithm with lowest…

Cryptography and Security · Computer Science 2021-06-21 Imad El Hanouti , Hakim El Fadili , Khalid Zenkouar

Cryptography is the science of using mathematics to encrypt and decrypt data. Cryptography enables you to store sensitive information or transmit it across insecure networks so that it cannot be read by anyone except the intended recipient.…

Cryptography and Security · Computer Science 2011-10-10 Penmetsa V. Krishna Raja , A. S. N. Chakravarthy , P. S. Avadhani

Chaos reveals a fundamental paradox in the scientific understanding of Complex Systems. Although chaotic models may be mathematically deterministic, they are practically non-determinable due to the finite precision, which is inherent in all…

We investigate the spread complexity of a generic two-level subsystem of a larger system to analyze the influence of energy level statistics, comparing chaotic and integrable systems. Initially focusing on the nearest-neighbor level…

High Energy Physics - Theory · Physics 2025-04-28 Amin Faraji Astaneh , Niloofar Vardian

Chaotic systems which are due to nonlinearity have attracted a great concern in the current world and chaotic models. Systems for a wide range of operation conditions have their application in almost all branches of engineering and science.…

Physics and Society · Physics 2022-09-09 Amin Gasmi

In the digital age, image encryption technology acts as a safeguard, preventing unauthorized access to images. This paper proposes an innovative image encryption scheme that integrates a novel 2D hyper-chaotic map with a newly developed…

Cryptography and Security · Computer Science 2025-11-06 Yiqi Tang