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Chaotic behavior arises from very simple non-linear dynamical equation of logistic map which makes it was used often in designing chaotic image encryption schemes. However, some properties of chaotic maps can also facilitate cryptanalysis…

Cryptography and Security · Computer Science 2016-10-14 Chengqing Li , Tao Xie , Qi Liu , Ge Cheng

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 analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical amplitude of the driving force above…

chao-dyn · Physics 2009-10-31 I. M. Khalatnikov , M. Kroyter

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

We consider chaotic dynamics of a system of two coupled ring resonators with a linear gain and a nonlinear absorption. Such a structure can be implemented in various settings including microresonator nanostructures, polariton condensates,…

The dynamics on a chaotic attractor can be quite heterogeneous, being much more unstable in some regions than others. Some regions of a chaotic attractor can be expanding in more dimensions than other regions. Imagine a situation where two…

Chaotic Dynamics · Physics 2018-11-14 Yoshitaka Saiki , Miguel A. F. Sanjuan , James A. Yorke

Chaos often represents a severe obstacle for the set-up of many-body experiments, e.g., in fusion plasmas or turbulent flows. We propose a strategy to control chaotic diffusion in conservative systems. The core of our approach is a small…

Chaotic Dynamics · Physics 2007-05-23 Cristel Chandre , Guido Ciraolo , Fabrice Doveil , Ricardo Lima , Alessandro Macor , Michel Vittot

We present numerical simulation results of driven vortex lattices in presence of random disorder at zero temperature. We show that the plastic dynamics is readily understood in the framework of chaos theory. Intermittency "routes to chaos"…

Superconductivity · Physics 2009-11-11 E. Olive , J. C. Soret

A Chaotic Pseudo Orthogonal Carriers Multi-Access (CPOCMA) communication based on Chaotic Pseudo Orthogonal Shape-forming Filter (CPOSF) bank, Chaotic Pseudo Orthogonal Matched Filter (CPOMF) bank and Chaotic Pseudo Orthogonal Correlation…

Information Theory · Computer Science 2021-03-23 Chao Bai , Jun-Liang Yao , Yu-Zhe Sun , Hai-Peng Ren

The ability to realize high-fidelity quantum communication is one of the many facets required to build generic quantum computing devices. In addition to quantum processing, sensing, and storage, transferring the resulting quantum states…

A novel explicit analytical solution is reported for the transmission and recovery of information signals using a simple communication scheme. Analytical solutions are obtained for the normalized state equations of coupled second-order…

Signal Processing · Electrical Eng. & Systems 2019-10-08 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

The phenomenon of Stochastic Resonance (SR) is observed in a completely deterministic setting - with thermal noise being replaced by one-dimensional chaos. The piecewise linear map investigated in the paper shows a transition from…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha , Bikas K. Chakrabarti

A variety of nonlinear models of biological systems generate complex chaotic behaviors that contrast with biological homeostasis, the observation that many biological systems prove remarkably robust in the face of changing external or…

Chaotic Dynamics · Physics 2023-07-07 Jonathan Jaquette , Sonal Kedia , Evelyn Sander , Jonathan D. Touboul

Mesoscopic devices, with system sizes in the range of several to several dozens wavelengths, represent paradigmatic model systems for the observation of quantum chaotic behaviour based on semiclassical concepts. Those electronic and…

Quantum Physics · Physics 2026-04-15 Martina Hentschel

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

Dynamical Systems · Mathematics 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

The efficient communication of noisy data has applications in several areas of machine learning, such as neural compression or differential privacy, and is also known as reverse channel coding or the channel simulation problem. Here we…

Information Theory · Computer Science 2022-05-26 Lucas Theis , Noureldin Yosri

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

This paper describes the security weakness of a recently proposed secure communication method based on parameter modulation of a chaotic system and adaptive observer-based synchronization scheme. We show that the security is compromised…

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

Transmon qubits are ubiquitously used in superconducting quantum information processor architectures. Strong drives are required to realize fast, high-fidelity, gates and measurements, including parametrically activated processes. Here, we…

Quantum Physics · Physics 2022-11-11 Joachim Cohen , Alexandru Petrescu , Ross Shillito , Alexandre Blais
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