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We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

Chaotic Dynamics · Physics 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

In this paper we design network coding schemes for Differential Chaos Shift Keying (DCSK) modulation. In this work, non-coherent chaos-based communication system is used due to its simplicity and robustness to multipath propagation effects,…

Information Theory · Computer Science 2015-05-13 Georges Kaddoum , Mohammed El-Hajjar

In remote estimation of cyber-physical systems (CPSs), sensor measurements transmitted through network may be attacked by adversaries, leading to leakage risk of privacy (e.g., the system state), and/or failure of the remote estimator. To…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Tao Chen , Andreu Cecilia , Daniele Astolfi , Lei Wang , Zhitao Liu , Hongye Su

Continuous-time systems with switch-like behaviour occur in chemical kinetics, gene regulatory networks and neural networks. Networks with hard switching, as a limiting case of smooth sigmoidal switching, retain the richest possible range…

Dynamical Systems · Mathematics 2019-05-10 Roderick Edwards

Assuming the validity of random matrices for describing the statistics of a closed chaotic quantum system, we study analytically some statistical properties of the S-matrix characterizing scattering in its open counterpart. In the first…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yan. V. Fyodorov , H. -J. Sommers

This study shows that a mixture of RNN experts model can acquire the ability to generate sequences combining multiple primitive patterns by means of self-organizing chaos. By training of the model, each expert learns a primitive sequence…

Chaotic Dynamics · Physics 2008-05-14 Jun Namikawa , Jun Tani

The emergence of nontrivial collective behavior in networks of coupled chaotic maps is investigated by means of a nonlinear mutual prediction method. The resulting prediction error is used to measure the amount of information that a local…

Chaotic Dynamics · Physics 2009-11-07 L. Cisneros , J. Jimenez , M. G. Cosenza , A. Parravano

Chaotic cryptography is based on the properties of chaos as source of entropy. Many different schemes have been proposed to take advantage of those properties and to design new strategies to encrypt information. However, the right and…

Cryptography and Security · Computer Science 2008-11-13 David Arroyo , Gonzalo Alvarez , Veronica Fernandez

This paper introduces a new watermarking algorithm based on discrete chaotic iterations. After defining some coefficients deduced from the description of the carrier medium, chaotic discrete iterations are used to mix the watermark and to…

Multimedia · Computer Science 2015-11-23 Jacques M. Bahi , Christophe Guyeux

Stochastic networks based on random point sets as nodes have attracted considerable interest in many applications, particularly in communication networks, including wireless sensor networks, peer-to-peer networks and so on. The study of…

Probability · Mathematics 2020-08-26 Subhroshekhar Ghosh , Kumarjit Saha

Chaotic behavior can be produced from difference equations with unstable fixed points. Difference equations can be used for algorithms to control the chaotic behavior by perturbing a system parameter using feedback based on the first…

Chaotic Dynamics · Physics 2010-01-14 Edward H. Hellen , J. Keith Thomas

This paper explores the prediction of subsequent steps in H\'enon Map using various machine learning techniques. The H\'enon map, well known for its chaotic behaviour, finds applications in various fields including cryptography, image…

Machine Learning · Computer Science 2024-05-24 Vismaya V S , Alok Hareendran , Bharath V Nair , Sishu Shankar Muni , Martin Lellep

Two-dimensional one-way coupled map lattices are used for cryptograph where multiple space units produce chaotic outputs in parallel. One of the outputs plays the role of driving for synchronization of the decryption system while the others…

Chaotic Dynamics · Physics 2015-06-26 Huaping Lu , Shihong Wang , Xiaowen Li , Guoning Tang , Jinyu Kuang , Weiping Ye , Gang Hu

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

Polynomial chaos based methods enable the efficient computation of output variability in the presence of input uncertainty in complex models. Consequently, they have been used extensively for propagating uncertainty through a wide variety…

Optimization and Control · Mathematics 2020-09-18 Tuhin Sahai

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 consider a family of singular maps as an example of a simple model of dynamical systems exhibiting the property of robust chaos on a well defined range of parameters. Critical boundaries separating the region of robust chaos from the…

Chaotic Dynamics · Physics 2008-05-20 M. G. Cosenza , O. Alvarez-LLamoza

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Tongwen Chen

This work analyzes the security weakness of a recently proposed communication method based on chaotic modulation and masking using synchronization of two chaotic systems with different orders. It is shown that its application to secure…

Chaotic Dynamics · Physics 2007-10-23 G. Alvarez , L. Hernandez , J. Munoz , F. Montoya , Shujun Li

Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

Chaotic Dynamics · Physics 2016-12-21 Simin Yu , Guanrong Chen