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The advection of passive tracers in an oscillating vortex chain is investigated. It is shown that by adding a suitable perturbation to the ideal flow, the induced chaotic advection exhibits two remarkable properties compared with a generic…

Chaotic Dynamics · Physics 2007-05-23 Tounsia Benzekri , Cristel Chandre , Xavier Leoncini , Ricardo Lima , Michel Vittot

In chaotic deterministic systems, seemingly stochastic behavior is generated by relatively simple, though hidden, organizing rules and structures. Prominent among the tools used to characterize this complexity in 1D and 2D systems are…

Fluid Dynamics · Physics 2017-06-07 Spencer A. Smith , Joshua Arenson , Eric Roberts , Suzanne Sindi , Kevin A. Mitchell

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved…

Signal Processing · Electrical Eng. & Systems 2022-10-14 Thomas L. Carroll

We introduce a dynamics-level approach to watermarking generative models. Rather than embedding signals into model weights or outputs, we embed the watermark directly into the learned continuous dynamics -- the velocity field of a flow…

Machine Learning · Computer Science 2026-05-18 Shuchan Wang

We develop a statistical theory of waveform shaping of incident waves that aim to efficiently deliver energy at weakly lossy targets which are embedded inside chaotic enclosures. Our approach utilizes the universal features of chaotic…

Disordered Systems and Neural Networks · Physics 2018-07-25 Huanan Li , Suwun Suwunnarat , Tsampikos Kottos

We propose dgMARK, a decoding-guided watermarking method for discrete diffusion language models (dLLMs). Unlike autoregressive models, dLLMs can generate tokens in arbitrary order. While an ideal conditional predictor would be invariant to…

Machine Learning · Computer Science 2026-02-02 Pyo Min Hong , Albert No

Watermarking is a technical means to dissuade malfeasant usage of Large Language Models. This paper proposes a novel watermarking scheme, so-called WaterMax, that enjoys high detectability while sustaining the quality of the generated text…

Cryptography and Security · Computer Science 2024-10-21 Eva Giboulot , Teddy Furon

In this article we study a relatively novel way of constructing chaotic sequences of probability measures supported on Kac's sphere, which are obtained as the law of a vector of $N$ i.i.d. variables after it is rescaled to have unit average…

Probability · Mathematics 2022-04-13 Roberto Cortez , Hagop Tossounian

Digital image watermarking is the process of embedding and extracting watermark covertly on a carrier image. Incorporating deep learning networks with image watermarking has attracted increasing attention during recent years. However,…

Multimedia · Computer Science 2020-07-07 Xin Zhong , Frank Y. Shih

In this brief, an algorithm for controlling chaotic systems using small, continuous time perturbations is presented. Stabilisation is achieved by self controlling feedback using low order LTI filters. The algorithm alleviates the need of…

chao-dyn · Physics 2007-05-23 Pabitra Mitra

This paper is devoted to establish quantitative and qualitative estimates related to the notion of chaos as firstly formulated by M. Kac in his study of mean-field limit for systems of $N$ undistinguishable particles. First, we…

Analysis of PDEs · Mathematics 2014-04-01 Maxime Hauray , Stéphane Mischler

In this paper, we study the chaotic behavior of a discrete-time linear inclusion.

Systems and Control · Computer Science 2013-07-16 Xiongping Dai , Tingwen Huang , Yu Huang , Mingqing Xiao

Traditionally, chaotic systems are built on the domain of infinite precision in mathematics. However, the quantization is inevitable for any digital devices, which causes dynamical degradation. To cope with this problem, many methods were…

Chaotic Dynamics · Physics 2016-09-27 Qianxue Wang , Simin Yu , Chengqing Li , Jinhu Lü , Xiaole Fang , Christophe Guyeux , Jacques M. Bahi

Dynamic watermarking, as an active intrusion detection technique, can potentially detect replay attacks, spoofing attacks, and deception attacks in the feedback channel for control systems. In this paper, we develop a novel dynamic…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Jiacheng Tang , Jiguo Song , Abhishek Gupta

Watermarking is a commonly used strategy to protect creators' rights to digital images, videos and audio. Recently, watermarking methods have been extended to deep learning models -- in principle, the watermark should be preserved when an…

In order to analyze the effect of chaos or order on the rate of decoherence in a subsystem we aim to distinguish effects of the two types of dynamics from those depending on the choice of the wave packet. To isolate the former we introduce…

Chaotic Dynamics · Physics 2007-05-23 T. Gorin , T. H. Seligman

The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically…

Statistical Mechanics · Physics 2010-02-03 Jen-Hao Yeh , James A. Hart , Elliott Bradshaw , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

Motivated by the famous ink-drop experiment, where ink droplets are used to determine the chaoticity of a fluid, we propose an experimentally implementable method for measuring the scrambling capacity of quantum processes. Here, a system of…

Quantum Physics · Physics 2023-07-19 Magdalini Zonnios , Jesper Levinsen , Meera M. Parish , Felix A. Pollock , Kavan Modi

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

The rapid proliferation of deep neural networks (DNNs) across several domains has led to increasing concerns regarding intellectual property (IP) protection and model misuse. Trained DNNs represent valuable assets, often developed through…

Cryptography and Security · Computer Science 2026-03-17 Sangeeth B , Serena Nicolazzo , Deepa K. , Vinod P