Oscillatory Neural Networks: In Problems of Parallel Information Processing, Margarita G. Kuzmina, Eduard A. Manykin, Evgeny S. Grichuk

Автор: Margarita G. Kuzmina, Eduard A. Manykin, Evgeny S.
Название: Oscillatory Neural Networks: In Problems of Parallel Information Processing
ISBN: 3110268353 ISBN-13(EAN): 9783110268355
Издательство: Walter de Gruyter
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Цена: 161100.00 T
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Описание: Understanding of the human brain functioning currently represents a challenging problem. In contrast to usual serial computers and complicated hierarchically organized artificial man-made systems, decentralized, parallel and distributed information processing principles are inherent to the brain. Besides adaptation and learning, which play a crucial role in brain functioning, oscillatory neural activity, synchronization and resonance accompany the brain work. Neural-like oscillatory network models, designed by the authors for image processing, allow to elucidate the capabilities of dynamical, synchronization-based types of image processing, presumably exploited by the brain. The oscillatory network models, studied by means of computer modeling and qualitative analysis, are presented and discussed in the book. Some other problems of parallel distributed information processing are also considered, such as a recall process from network memory for large-scale recurrent associative memory neural networks, performance of oscillatory networks of associative memory, dynamical oscillatory network methods of image processing with synchronization-based performance, optical parallel information processing based on the nonlinear optical phenomenon of photon echo, and modeling random electric fields of quasi-monochromatic polarized light beams using systems of superposed stochastic oscillators. This makes the book highly interesting to researchers dealing with various aspects of parallel information processing.

Автор: Jan R. Westra; Chris J.M. Verhoeven; Arthur H.M. v
Название: Oscillators and Oscillator Systems
ISBN: 0792386523 ISBN-13(EAN): 9780792386520
Издательство: Springer
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Цена: 156720.00 T
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Описание: In many electronic systems, such as telecommunication or measurement systems, oscillations play an essential role in the information processing. Oscillators and Oscillator Systems: Classification, Analysis and Synthesis takes a systematic approach to the design of high-performance oscillators and oscillator systems.

Автор: Jan R. Westra; Chris J.M. Verhoeven; Arthur H.M. v
Название: Oscillators and Oscillator Systems
ISBN: 1441951105 ISBN-13(EAN): 9781441951106
Издательство: Springer
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Цена: 130590.00 T
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Описание: In many electronic systems, such as telecommunication or measurement systems, oscillations play an essential role in the information processing. Oscillators and Oscillator Systems: Classification, Analysis and Synthesis takes a systematic approach to the design of high-performance oscillators and oscillator systems.

Автор: Grigory V. Osipov; J?rgen Kurths; Changsong Zhou
Название: Synchronization in Oscillatory Networks
ISBN: 3642090354 ISBN-13(EAN): 9783642090356
Издательство: Springer
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Цена: 95770.00 T
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Описание: This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few.

Автор: Wu
Название: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
ISBN: 9811090033 ISBN-13(EAN): 9789811090035
Издательство: Springer
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Цена: 102480.00 T
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Описание: Functionally fitted continuous finite element methods for oscillatory Hamiltonian system.- Exponential average-vector-field integrator for conservative or dissipative systems.- Exponential Fourier collocation methods for first-order differential Equations.- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems.- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems.- The construction of arbitrary order ERKN integrators via group theory.- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems.- A compact tri-colored tree theory for general ERKN methods.- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations.- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations.- Arbitrarily high-order time-stepping schemes for nonlinear Klein-Gordon equations.- An essential extension of the finite-energy condition for ERKN integrators solving nonlinear wave equations.- Index

Автор: Xinyuan Wu; Xiong You; Bin Wang
Название: Structure-Preserving Algorithms for Oscillatory Differential Equations
ISBN: 364244556X ISBN-13(EAN): 9783642445569
Издательство: Springer
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Цена: 113180.00 T
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Описание: This book describes effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Includes advances in ARKN, ERKN, Falkner-type and energy-preserving methods.

Автор: Leonid I. Manevitch; Agnessa Kovaleva; Valeri Smir
Название: Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures
ISBN: 9811046654 ISBN-13(EAN): 9789811046650
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics.

Автор: Alfredo Dea?o, Daan Huybrechs, Arieh Iserles
Название: Computing Highly Oscillatory Integrals
ISBN: 1611975115 ISBN-13(EAN): 9781611975116
Издательство: Mare Nostrum (Eurospan)
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Цена: 70230.00 T
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Описание: Highly oscillatory phenomena range across numerous areas in science and engineering and their computation represents a difficult challenge. A case in point is integrals of rapidly oscillating functions in one or more variables. The quadrature of such integrals has been historically considered very demanding. Research in the past 15 years (in which the authors played a major role) resulted in a range of very effective and affordable algorithms for highly oscillatory quadrature. This is the only monograph bringing together the new body of ideas in this area in its entirety.The starting point is that approximations need to be analyzed using asymptotic methods rather than by more standard polynomial expansions. As often happens in computational mathematics, once a phenomenon is understood from a mathematical standpoint, effective algorithms follow. As reviewed in this monograph, we now have at our disposal a number of very effective quadrature methods for highly oscillatory integrals—Filon-type and Levin-type methods, methods based on steepest descent, and complex-valued Gaussian quadrature. Their understanding calls for a fairly varied mathematical toolbox—from classical numerical analysis, approximation theory, and theory of orthogonal polynomials all the way to asymptotic analysis—yet this understanding is the cornerstone of efficient algorithms.

Автор: Wu Xinyuan
Название: Structure-Preserving Algorithms for Oscillatory Differential
ISBN: 3642353371 ISBN-13(EAN): 9783642353376
Издательство: Springer
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Цена: 130610.00 T
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Описание: Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation.

Автор: Christo Pantev; Thomas Elbert; Bernd L?tkenh?ner
Название: Oscillatory Event-Related Brain Dynamics
ISBN: 0306448947 ISBN-13(EAN): 9780306448942
Издательство: Springer
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Цена: 231990.00 T
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Описание: Proceedings of a NATO ARW held in Tecklenburg, Germany, September 1-5, 1993.

Автор: Ludger Rensing; Uwe an der Heiden; Michael C. Mack
Название: Temporal Disorder in Human Oscillatory Systems
ISBN: 3642726399 ISBN-13(EAN): 9783642726392
Издательство: Springer
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Цена: 46570.00 T
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