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We present a perception model of ambiguous patterns based on the chaotic neural network and investigate the characteristics through computer simulations. The results induced by the chaotic activity are similar to those of psychophysical…

Chaotic Dynamics · Physics 2007-05-23 Natsuki Nagao , Haruhiko Nishimura , Nobuyuki Matsui

We establish the emergence of chaotic motion in optomechanical systems. Chaos appears at negative detuning for experimentally accessible values of the pump power and other system parameters. We describe the sequence of period doubling…

Quantum Physics · Physics 2015-01-15 L. Bakemeier , A. Alvermann , H. Fehske

We propose a neural network model with transient chaos, or a transiently chaotic neural network (TCNN) as an approximation method for combinatorial optimization problem, by introducing transiently chaotic dynamics into neural networks.…

chao-dyn · Physics 2008-02-03 Luonan Chen , Kazuyuki Aihara

The chaotic systems have been found applications in diverse fields such as pseudo random number generator, coding, cryptography, spread spectrum (SS) communications etc. The inherent capability of generating a large space of PN sequences…

Discrete Mathematics · Computer Science 2012-07-12 V. H. Mankar , T. S. Das , S. K. Sarkar

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

In this paper, the advanced parallel chaos optimal search algorithm is proposed and the effectiveness of the proposed algorithm is verified through the experiment for find out the minimum of several benchmark functions.

Optimization and Control · Mathematics 2015-12-17 UnSun Pak , YongNam Kim , GyongIl Ryang

The dynamics of the tubular chemical reactor with mass recycle were examined. In such a system, temperature and concentrations may oscillate chaotically. This means that state variable values are then unpredictable. In this paper it has…

Dynamical Systems · Mathematics 2026-02-10 Marek Berezowski

The dynamics of an extremely diluted neural network with high order synapses acting as corrections to the Hopfield model is investigated. As in the fully connected case, the high order terms may strongly improve the storage capacity of the…

Condensed Matter · Physics 2009-10-22 N. Lemke , J. J. Arenzon , F. A. Tamarit

Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices. We consider an extended version of the…

Quantum Physics · Physics 2023-12-19 Mahaveer Prasad , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

Software for the resolution of certain kind of problems, those that rate high in the Stringent Performance Objectives adjustment factor (IFPUG scheme), can be described using a combination of game theory and autonomous systems. From this…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 M. Chaves

This chapter offers a principled approach to the prediction of chaotic systems from data. First, we introduce some concepts from dynamical systems' theory and chaos theory. Second, we introduce machine learning approaches for…

Chaotic Dynamics · Physics 2026-04-14 Luca Magri , Andrea Nóvoa , Elise Özalp

A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the type of solution becomes subject to external…

chao-dyn · Physics 2007-05-23 G. V. Vlasov

The Global Wearable market is anticipated to rise at a considerable rate in the next coming years and communication is a fundamental block in any wearable device. In communication, encryption methods are being used with the aid of…

Cryptography and Security · Computer Science 2023-05-29 Rahul Vishwakarma , Ravi Monani , Amin Rezaei , Hossein Sayadi , Mehrdad Aliasgari , Ava Hedayatipour

Reservoir computing systems, a class of recurrent neural networks, have recently been exploited for model-free, data-based prediction of the state evolution of a variety of chaotic dynamical systems. The prediction horizon demonstrated has…

Machine Learning · Computer Science 2020-04-06 Huawei Fan , Junjie Jiang , Chun Zhang , Xingang Wang , Ying-Cheng Lai

Optical chaos is a topic of current research characterized by high-dimensional nonlinearity which is attributed to the delay-induced dynamics, high bandwidth and easy modular implementation of optical feedback. In light of these facts,…

Optics · Physics 2011-03-01 S. Banerjee , L. Rondoni , S. Mukhopadhyay , A. P. Misra

We present a stochastic algorithm for constructing a topologically disordered (i.e., non-regular) spatial lattice with nodes of constant coordination number, the CC lattice. The construction procedure dramatically improves on an earlier…

Disordered Systems and Neural Networks · Physics 2019-11-06 Manuel Schrauth , Jefferson S. E. Portela

We provide compelling evidence for the presence of quantum chaos in the unitary part of Shor's factoring algorithm. In particular we analyze the spectrum of this part after proper desymmetrization and show that the fluctuations of the…

Quantum Physics · Physics 2009-11-13 Krishnendu Maity , Arul Lakshminarayan

A novel type of self-organized lattice in which chaotic defects are arranged periodically is reported for a coupled map model of open flow. We find that temporally chaotic defects are followed by spatial relaxation to an almost periodic…

chao-dyn · Physics 2009-10-22 Frederick H. Willeboordse , Kunihiko Kaneko

Coexistence of various ordered chaotic states in a Hamiltonian system is studied with the use of a symplectic coupled map lattice. Besides the clustered states for the attractive interaction, a novel chaotic ordered state is found for a…

chao-dyn · Physics 2009-10-22 Kunihiko KANEKO , Tetsuro KONISHI

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
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