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In this letter we present a method of constructing dynamical systems with any preassigned number of equilibria by adding symmetry to another system with at least one equilibrium point. If the resulting system is chaotic, we call this…

Chaotic Dynamics · Physics 2012-09-03 Zeraoulia Elhadj , J. C. Sprott

Watermarking techniques offer a promising way to identify machine-generated content via embedding covert information into the contents generated from language models. A challenge in the domain lies in preserving the distribution of original…

Cryptography and Security · Computer Science 2024-06-26 Yihan Wu , Zhengmian Hu , Junfeng Guo , Hongyang Zhang , Heng Huang

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

New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined oscillation phases at least on short time intervals. For data…

Chaotic Dynamics · Physics 2017-08-10 Olga B. Isaeva , Alexey Yu. Jalnine , Sergey P. Kuznetsov

We review recent progress in applying information- and computation-theoretic measures to describe material structure that transcends previous methods based on exact geometric symmetries. We discuss the necessary theoretical background for…

Materials Science · Physics 2014-11-12 Dowman P. Varn , James P. Crutchfield

A recent watermarking scheme for language models achieves distortion-free embedding and robustness to edit-distance attacks. However, it suffers from limited generation diversity and high detection overhead. In parallel, recent research has…

Cryptography and Security · Computer Science 2025-12-12 Yangkun Wang , Jingbo Shang

We propose a novel error concealment algorithm to be used at the receiver side of a lossy image transmission system. Our algorithm involves hiding the edge map of the original image at the transmitter within itself using a robust…

Multimedia · Computer Science 2010-04-27 Shabnam Sodagari , Peyman Hesami , Alireza Nasiri Avanaki

A precise definition of chaos for discrete processes based on iteration already exists. We shall first reformulate it in a more general frame, taking into account the fact that discrete chaotic behavior is neither necessarily based on…

Dynamical Systems · Mathematics 2008-06-01 Andrei Vieru

In this paper we propose a multi-map orbit hopping chaotic stream cipher that utilizes the idea of spread spectrum mechanism for secure digital communications and fundamental chaos characteristics of mixing, unpredictable, and extremely…

Cryptography and Security · Computer Science 2007-05-23 Xiaowen Zhang , Li Shu , Ke Tang

In recent years, information security essential in various arenas like internet communication, multimedia systems, medical imaging, tele-medicine and military communication. However, most of them faced with some problems such as the lack of…

Cryptography and Security · Computer Science 2012-11-02 Sodeif Ahadpour , Yaser Sadra

Watermarking is an important copyright protection technology which generally embeds the identity information into the carrier imperceptibly. Then the identity can be extracted to prove the copyright from the watermarked carrier even after…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Sulong Ge , Zhihua Xia , Jianwei Fei , Xingming Sun , Jian Weng

This paper introduces a new framework for data hiding security. Contrary to the existing ones, the approach introduced here is not based on probability theory. In this paper, a scheme is considered as secure if its behavior is proven…

Cryptography and Security · Computer Science 2010-05-06 Jacques M. Bahi , Christophe Guyeux

The availability of bandwidth for internet access is sufficient enough to communicate digital assets. These digital assets are subjected to various types of threats. [19] As a result of this, protection mechanism required for the protection…

Multimedia · Computer Science 2013-01-23 Mahimn Pandya , Hiren Joshi , Ashish Jani

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

In this paper we propose an application of adaptive synchronization of chaos to detect changes in the topology of a mobile robotic network. We assume that the network may evolve in time due to the relative motion of the mobile robots and…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Nicola Bezzo , Patricio J. Cruz Davalos , Francesco Sorrentino , Rafael Fierro

This paper considers the maximization of information rates for the Gaussian frequency-selective interference channel, subject to power and spectral mask constraints on each link. To derive decentralized solutions that do not require any…

Information Theory · Computer Science 2008-01-17 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

Theoretical foundations of chaos have have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world…

We study multi-bit watermarking for data generated by stochastic processes, where a hidden message is embedded during sampling and must be decodable by an authorized detector that possesses side information unavailable to unauthorized…

Information Theory · Computer Science 2026-05-12 Haiyun He , Yepeng Liu , Zhuoer Shen , Ziqiao Wang , Yongyi Mao , Yuheng Bu

This study redefines the analysis of Devaney chaos in multiple mappings from a set-valued perspective and introduces new conditions to characterize their chaotic behavior. As an innovative advancement, we develop computational algorithms to…

Chaotic Dynamics · Physics 2024-09-27 Illych Alvarez , Ivonne Leon , Ivy Peña

Deterministic chaos is phenomenon from nonlinear dynamics and it belongs to greatest advances of twentieth-century science. Chaotic behavior appears apart of mathematical equations also in wide range in observable nature, so as in there…

Computational Physics · Physics 2020-12-15 Radim Pánis , Martin Kološ , Zdeněk Stuchlík
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