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Whether listening to overlapping conversations in a crowded room or recording the simultaneous electrical activity of millions of neurons, the natural world abounds with sparse measurements of complex overlapping signals that arise from…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Zhixin Lu , Jason Z. Kim , Danielle S. Bassett

An approach based on the kernel methods for capturing the nonlinear interdependence between two signals is introduced. It is demonstrated that the proposed approach is useful for characterizing generalized synchronization with a successful…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

The security of image data in the Internet of Things (IoT) and edge networks is crucial due to the increasing deployment of intelligent systems for real-time decision-making. Traditional encryption algorithms such as AES and RSA are…

Cryptography and Security · Computer Science 2025-05-02 Muhammad Shahbaz Khan , Ahmed Al-Dubai , Jawad Ahmad , Nikolaos Pitropakis , Baraq Ghaleb

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

Stellar streams are sensitive probes of the Galactic potential. The likelihood of a stream model given stream data is often assessed using simulations. However, comparing to simulations is challenging when even the stream paths can be hard…

Astrophysics of Galaxies · Physics 2023-05-03 Nathaniel Starkman , Jo Bovy , Jeremy J. Webb , Daniela Calvetti , Erkki Somersalo

Stream reasoning systems are designed for complex decision-making from possibly infinite, dynamic streams of data. Modern approaches to stream reasoning are usually performing their computations using stand-alone solvers, which…

Artificial Intelligence · Computer Science 2020-02-19 Thomas Eiter , Paul Ogris , Konstantin Schekotihin

The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise, we relax assumptions on the class of maps, as well as…

Dynamical Systems · Mathematics 2019-02-25 Elena Braverman , Alexandra Rodkina

As a powerful cryptanalysis tool, the method of return-map attacks can be used to extract secret messages masked by chaos in secure communication schemes. Recently, a simple defensive mechanism was presented to enhance the security of…

Chaotic Dynamics · Physics 2016-08-16 Shujun Li , Guanrong Chen , Gonzalo Álvarez

This paper proposes three different chaotic encryption methods using 1-D chaotic map known as Logistic map named as Logistic, NLFSR and Modified NLFSR according to the name of chaotic map and non-linear function involved in the scheme. The…

Cryptography and Security · Computer Science 2013-12-17 Mina Mishra , Vijay H. Mankar

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on…

Chaotic Dynamics · Physics 2009-11-07 Govindan Rangarajan , Mingzhou Ding

Chaotic logic gates or `chaogates' are a promising mixed-signal approach to designing universal computers. However, chaotic systems are exponentially sensitive to small perturbations, and the effects of noise can cause chaotic computers to…

Chaotic Dynamics · Physics 2022-02-16 Noeloikeau Charlot , Daniel J. Gauthier

In systems with a mixed phase space, where regular and chaotic motion coexists, regular states are coupled to the chaotic region by dynamical tunneling. We give an overview on the determination of direct regular-to-chaotic tunneling rates…

Chaotic Dynamics · Physics 2011-04-05 Arnd Bäcker , Roland Ketzmerick , Steffen Löck

The increase in data traffic on the internet has significantly increased the relevance of data and image encryption. Among the techniques most used in cryptography, chaotic systems have received great attention due to their easy…

Cryptography and Security · Computer Science 2020-02-19 R. C. Gonzalez , E. G. Nepomuceno

In this study, we propose a novel computing paradigm "Bit Stream Computing" that is constructed on the logic used in stochastic computing, but does not necessarily employ randomly or Binomially distributed bit streams as stochastic…

Emerging Technologies · Computer Science 2019-04-30 Ensar Vahapoglu , Mustafa Altun

We introduce and study systems of randomly coupled maps (RCM) where the relevant parameter is the degree of connectivity in the system. Global (almost-) synchronized states are found (equivalent to the synchronization observed in globally…

Condensed Matter · Physics 2009-10-31 Susanna C. Manrubia , Alexander S. Mikhailov

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…

After a brief introduction to a new chaotic stream cipher Mmohocc which utilizes the fundamental chaos characteristics of mixing, unpredictability, and sensitivity to initial conditions, we conducted the randomness statistical tests against…

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

Pseudo-Random Bit Generation (PRBG) is required in many aspects of cryptography as well as in other applications of modern security engineering. In this work, PRBG based on 2D symmetrical chaotic mappings of logistic type is considered. The…

Chaotic Dynamics · Physics 2008-01-28 C. Pellicer-Lostao , R. Lopez-Ruiz

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result,…

Chaotic Dynamics · Physics 2009-05-05 Prabhakar G. Vaidya

Distributed Stream Processing systems are becoming an increasingly essential part of Big Data processing platforms as users grow ever more reliant on their ability to provide fast access to new results. As such, making timely decisions…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-27 Morgan K. Geldenhuys , Benjamin J. J. Pfister , Dominik Scheinert , Lauritz Thamsen , Odej Kao
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