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The realization of a paradigm chaotic system, namely the harmonically driven oscillator, in the quantum domain using cold trapped ions driven by lasers is theoretically investigated. The simplest characteristics of regular and chaotic…

Quantum Physics · Physics 2009-10-31 G. P. Berman , D. F. V. James , R. J. Hughes , M. S. Gulley , M. H. Holzscheiter , G. V. Lopez

Chaos is a phenomenon that attracted much attention in the past ten years. In this paper, we analyze chaos-based signal processing, and proposed a chaos processor to take advantage of chaos phenomenon. We also analyzed and demonstrated two…

Emerging Technologies · Computer Science 2017-03-21 F Li

Chaos presents complex dynamics arising from nonlinearity and a sensitivity to initial states. These characteristics suggest a depth of expressivity that underscores their potential for advanced computational applications. However,…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shuhong Liu , Nozomi Akashi , Qingyao Huang , Yasuo Kuniyoshi , Kohei Nakajima

The idea that chaos could be a useful tool for analyze nonlinear systems considered in this paper and for the first time the two time scale property of singularly perturbed systems is analyzed on chaotic attractor. The general idea…

Chaotic Dynamics · Physics 2012-05-18 Mozhgan Mombeini , Ali Khaki Sedigh , Mohammad Ali Nekoui

In this paper, we introduce a new class of dynamical systems on a coarse space with coarse time called, coarse dynamical system. The notion of coarse conjugacy is studied from coarse geometry point of view. Coarse orbits as invariant sets…

Dynamical Systems · Mathematics 2021-05-07 Najmeh Khajoei

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

In this paper the linear and stationary Discrete-time systems with state variables and dynamic coefficients represented by fuzzy numbers are studied, providing some stability criteria, and characterizing the bounds of the set of solutions…

Systems and Control · Computer Science 2011-09-05 Gabriele Oliva , Stefano Panzieri , Roberto Setola

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them encountered many problems such as small key space and weak security. In the present paper, a new kind of chaotic cryptosystem based on…

Chaotic Dynamics · Physics 2010-10-22 S. Behnia , A. Akhshani , A. Akhavan , H. Mahmodi

A number of representation schemes have been presented for use within learning classifier systems, ranging from binary encodings to neural networks. This paper presents results from an investigation into using discrete and fuzzy dynamical…

Artificial Intelligence · Computer Science 2015-01-27 Richard J. Preen , Larry Bull

Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · Physics 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

We investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a fraction c of the circulating electric…

We show that two initially weakly coupled chaotic systems can achieve self-organized synchronization by adaptively reducing their speed and/or enhancing the coupling strength. Explicit adaptive algorithms for speed-reduction and…

Statistical Mechanics · Physics 2009-11-07 Xiao Fan Wang

In recent years, the use of non-analytical methods of computing such as fuzzy logic, evolutionary computation, and neural networks has demonstrated the utility and potential of these paradigms for intelligent control of mobile robot…

Neural and Evolutionary Computing · Computer Science 2010-03-23 Razif Rashid , I. Elamvazuthi , Mumtaj Begam , M. Arrofiq

A chaos-based communication scheme allowing simultaneous bidirectional message transmission (Opt. Lett. 32, 403, 2007) is investigated numerically. Incoherent feedback and coupling case is analyzed, which is expected in real long-distance…

Optics · Physics 2008-06-23 I. V. Koryukin

We address a fundamental mismatch between the combinations of dynamics that occur in cyber-physical systems and the limited kinds of dynamics supported in analysis. Modern applications combine communication, computation, and control. They…

Logic in Computer Science · Computer Science 2016-12-02 Andre Platzer

A discrete-time discrete-value pseudo-chaotic encoder/decoder system is presented. The pseudo-chaotic module is a 3D discrete version of the well-known Lorenz dynamical system. Scaling and biasing transformations as well as natural number…

Cryptography and Security · Computer Science 2007-05-23 C. M. Gonzalez , H. A. Larrondo , C. A. Gayoso , L. J. Arnone , E. I. Boemo

We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fixed point, which, when subjected to a finite-amplitude…

Chaotic Dynamics · Physics 2015-05-13 Kristine E. Callan , Lucas Illing , Zheng Gao , Daniel J. Gauthier , Eckehard Schöll

Higher-order interactions play a key role for the stability and function of a complex system. However, how to identify them is still an open problem. Here, we propose a method to fully reconstruct the structural connectivity of a system of…

The AI community is increasingly putting its attention towards combining symbolic and neural approaches, as it is often argued that the strengths and weaknesses of these approaches are complementary. One recent trend in the literature are…

Artificial Intelligence · Computer Science 2021-10-12 Emile van Krieken , Erman Acar , Frank van Harmelen

It was recently shown (quant-ph/9909074) that parasitic random interactions between the qubits in a quantum computer can induce quantum chaos and put into question the operability of a quantum computer. In this work I investigate whether…

Quantum Physics · Physics 2009-11-07 Daniel Braun
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