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A chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher-dimensional systems. The method assumes knowledge of the model equations and a small number of experimentally accessible parameters. General…

chao-dyn · Physics 2019-08-17 A. Pentek , J. B. Kadtke , Z. Toroczkai

Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from increasing. We demonstrate numerically that…

chao-dyn · Physics 2016-08-31 R. Schack , C. M. Caves

We reveal the escape mechanism of orbits in a Hamiltonian system with four exit channels composed of two-dimensional perturbed harmonic oscillators. We distinguish between trapped chaotic, non-escaping regular and escaping orbits by…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

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

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

Chaotic behavior of quantum systems can be characterized by the adherence of the expectation values of given probes to moments of the Haar distribution. In this work, we analyze the behavior of several probes of chaos using a technique…

Quantum Physics · Physics 2026-04-14 Stefano Cusumano , Gianluca Esposito , Alioscia Hamma

In traditional chaos shift keying (CSK) communication systems, implementing chaotic synchronization techniques is costly but practically unattainable in a noisy environment. This paper proposes a combined chaotic sequences-based $M$-ary CSK…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Tingting Huang , Jundong Chen , Huanqiang Zeng , Guofa Cai , Haoyu Zhou

This paper introduces a new notion of chaotic algorithms. These algorithms are iterative and are based on so-called chaotic iterations. Contrary to all existing studies on chaotic iterations, we are not interested in stable states of such…

Cryptography and Security · Computer Science 2015-11-03 Christophe Guyeux , Jacques M. Bahi

To determine the regular or chaotic nature of the orbits in dynamical systems can be quite an issue. In this article, following Vozikis et al. (2000), we propose a new tool, namely, the Power Spectrum Indicator (PSI), $\psi^2$, that enables…

Chaotic Dynamics · Physics 2018-08-02 Christos Vozikis , Konstantinos Kleidis , Stavros Papaioannou

Multiple-operators (multi-OPs) spectrum sharing mechanism can effectively improve the spectrum utilization in fifth-generation (5G) wireless communication networks. The secondary users are introduced to opportunistically access the licensed…

Networking and Internet Architecture · Computer Science 2020-05-07 Shuang Zheng , Tao Han , Yuna Jiang , Xiaohu Ge

One of the common characteristics of chaotic maps or flows in high dimensions is "unstable dimensional variability", in which there are periodic points whose unstable manifolds have different dimensions. In this paper, in trying to…

Dynamical Systems · Mathematics 2017-08-02 Suddhasattwa Das , James A Yorke

A process for the secure transmission of data is presented that has to a certain degree the advantages of the one-time pad (OTP) cipher, that is, simplicity, speed, and information-theoretically security, but overcomes its fundamental…

Cryptography and Security · Computer Science 2016-08-22 Uwe Starossek

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

In a recent letter [Phys.Rev.Lett. {\bf 30}, 3269 (1995), chao-dyn/9510011], we reported that a macroscopic chaotic determinism emerges in a multistable system: the unidirectional motion of a dissipative particle subject to an apparently…

chao-dyn · Physics 2009-10-28 Tsuyoshi Hondou , Yasuji Sawada

We predict that continuously monitored quantum dynamics can be chaotic. The optimal paths between past and future boundary conditions can diverge exponentially in time when there is time-dependent evolution and continuous weak monitoring.…

Quantum Physics · Physics 2018-08-08 Philippe Lewalle , John Steinmetz , Andrew N. Jordan

Stream ciphers play important role in cryptography. In this paper we do a survey on stream ciphers.Various possible attacks are analyzed.

Cryptography and Security · Computer Science 2012-07-24 M. Sivasankar

In cryptography, block ciphers are the most fundamental elements in many symmetric-key encryption systems. The Cipher Block Chaining, denoted CBC, presents one of the most famous mode of operation that uses a block cipher to provide…

Chaotic Dynamics · Physics 2017-08-11 Abdessalem Abidi , Samar Tawbi , Christophe Guyeux , Belgacem Bouallègue , Mohsen Machhout

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

Conventional techniques for compression and encryption are frequently laborious and resource-intensive, rendering them inappropriate for real-time applications. A plethora of research has been presented in the current literature to address…

Cryptography and Security · Computer Science 2026-05-19 Shiladitya Bhattacharjee , Subha Bhattacharya , Arnab Chatterjee , Sulabh Bansal , Saurabh Shukla

Homomorphic encryption has largely been studied in context of public key cryptosystems. But there are applications which inherently would require symmetric keys. We propose a symmetric key encryption scheme with fully homomorphic evaluation…

Cryptography and Security · Computer Science 2013-10-10 Iti Sharma
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