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Nonlinear Problems In Random Theory
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Book Synopsis Nonlinear Problems in Random Theory by : Norbert Wiener
Download or read book Nonlinear Problems in Random Theory written by Norbert Wiener and published by . This book was released on 1958 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory. From the preface: For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in particular of the alpha rhythm, it has occurred to me to use the model of a system of random nonlinear oscillators excited by a random input.... At the beginning we had contemplated a series of only four or five lectures. My ideas developed pari passu with the course, and by the end of the term we found ourselves with a set of fifteen lectures. The last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases. This work is both new and tentative, and I found that I had to supplement my course by the writing over of these with the help of Professer Y. W. Lee.
Book Synopsis Nonlinear Problems of Engineering by : William F. Ames
Download or read book Nonlinear Problems of Engineering written by William F. Ames and published by Academic Press. This book was released on 2014-05-12 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.
Book Synopsis Non-Linear Transformations of Stochastic Processes by : P. I. Kuznetsov
Download or read book Non-Linear Transformations of Stochastic Processes written by P. I. Kuznetsov and published by Elsevier. This book was released on 2014-05-12 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Linear Transformations of Stochastic Processes focuses on the approaches, methodologies, transformations, and computations involved in the non-linear transformations of stochastic processes. The selection first underscores some problems of the theory of stochastic processes and the transmission of random functions through non-linear systems. Discussions focus on the transformation of moment functions for the general non-linear transformation; conversion formulas for correlation functions; transformation of moment functions for the simplest type of non-linear transformation; and normalization of the linear system of probability distribution laws. The text then ponders on quasi-moment functions in the theory of random processes and correlation functions in the theory of the Brownian motion generalization of the Fokker-Planck equation. The manuscript elaborates on the correlation functions of random sequences of rectangular pulses; method of determining the envelope of quasi-harmonic fluctuations; and the problem of measuring electrical fluctuations with the aid of thermoelectric devices. The book then examines the effect of signal and noise on non-linear elements and the approximate method of calculating the correlation function of stochastic signals. The selection is a dependable source of information for researchers interested in the non-linear transformations of stochastic processes.
Book Synopsis Nonlinear Random Vibration by : Cho W.S. To
Download or read book Nonlinear Random Vibration written by Cho W.S. To and published by CRC Press. This book was released on 2011-08-10 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: a concise treatment of Markovian and non- Markovian solutions
Book Synopsis Nonlinear Stochastic Problems by : S. Bucy
Download or read book Nonlinear Stochastic Problems written by S. Bucy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume corresponds to the invited lectures and advanced research papers presented at the NATD Advanced Study Institute on Nonlinear Stochastic Problems with emphasis on Identification, Signal Processing, Control and Nonlinear Filtering held in Algarve (Portugal), on May 1982. The book is a blend of theoretical issues, algorithmic implementation aspects, and application examples. In many areas of science and engineering, there are problems which are intrinsically nonlinear 3nd stochastic in nature. Clear examples arise in identification and mOdeling, signal processing, nonlinear filtering, stochastic and adaptive conLrol. The meeting was organized because it was felt that there is a need for discussion of the methods and philosophy underlying these different areas, and in order to communicate those approaches that have proven to be effective. As the computational technology progresses, more general approaches to a number of problems which have been treated previously by linearization and perturbation methods become feasible and rewarding.
Book Synopsis Nonlinear Renewal Theory in Sequential Analysis by : Michael Woodroofe
Download or read book Nonlinear Renewal Theory in Sequential Analysis written by Michael Woodroofe and published by SIAM. This book was released on 1982-01-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global approach to nonlinear renewal theory is integrated with the author's own local approach. Both the theory and its applications are placed in perspective by including a discussion of the linear renewal theorem and its applications to the sequential probability ratio test. Applications to repeated significance tests, to tests with power one, and to sequential estimation are also included. The monograph is self-contained for readers with a working knowledge of measure-theoretic probability and intermediate statistical theory.
Book Synopsis Nonlinear System Theory by : Wilson J. Rugh
Download or read book Nonlinear System Theory written by Wilson J. Rugh and published by . This book was released on 1981 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Book Synopsis Nonlinear Time Series by : Randal Douc
Download or read book Nonlinear Time Series written by Randal Douc and published by CRC Press. This book was released on 2014-01-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text emphasizes nonlinear models for a course in time series analysis. After introducing stochastic processes, Markov chains, Poisson processes, and ARMA models, the authors cover functional autoregressive, ARCH, threshold AR, and discrete time series models as well as several complementary approaches. They discuss the main limit theorems for Markov chains, useful inequalities, statistical techniques to infer model parameters, and GLMs. Moving on to HMM models, the book examines filtering and smoothing, parametric and nonparametric inference, advanced particle filtering, and numerical methods for inference.
Book Synopsis Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits by : Fathi M. Abdel Salam
Download or read book Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits written by Fathi M. Abdel Salam and published by SIAM. This book was released on 1988-01-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Evolution Equations And Dynamical Systems - Proceedings Of The Workshop (Needs '91) by : M Boiti
Download or read book Nonlinear Evolution Equations And Dynamical Systems - Proceedings Of The Workshop (Needs '91) written by M Boiti and published by World Scientific. This book was released on 1992-08-26 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop NEEDS '91 brought together, from all over the world, scientists engaged in research on nonlinear systems, either their underlying mathematical properties or their physical applications. Accordingly, many talks were devoted to present methods of solution (like spectral transform) and to the investigation of structural (geometrical and/or algebraic) properties of (continuous and discrete) nonlinear evolution equations. Peculiar nonlinear systems, such as cellular automata, were also discussed. Applications to various fields of physics, namely, quantum field theory, fluid dynamics, general relativity and plasma physics were considered.
Book Synopsis Nonlinear Problems In Engineering - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 4 by : Costantino Carmignani
Download or read book Nonlinear Problems In Engineering - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 4 written by Costantino Carmignani and published by World Scientific. This book was released on 1991-10-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume, presented at the workshop on 'Nonlinear Problems in Engineering', held in ENEA Rome (Italy) from 6 - 7 May 1991, and sponsored by ENEA, report nonlinear problems of prevailing engineering interest. Both nonlinear static and dynamic topics are dealt with; in particular, plastic behavior of materials, elastic-plastic models, fracture mechanics, geophysical prospecting, theory of nonlinear control, mixing models for chemical reactors, nonlinear responses of structures, rotor dynamics, and impact loads on structures.
Book Synopsis Gaussian and Non-Gaussian Linear Time Series and Random Fields by : Murray Rosenblatt
Download or read book Gaussian and Non-Gaussian Linear Time Series and Random Fields written by Murray Rosenblatt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal focus here is on autoregressive moving average models and analogous random fields, with probabilistic and statistical questions also being discussed. The book contrasts Gaussian models with noncausal or noninvertible (nonminimum phase) non-Gaussian models and deals with problems of prediction and estimation. New results for nonminimum phase non-Gaussian processes are exposited and open questions are noted. Intended as a text for gradutes in statistics, mathematics, engineering, the natural sciences and economics, the only recommendation is an initial background in probability theory and statistics. Notes on background, history and open problems are given at the end of the book.
Book Synopsis Block-oriented Nonlinear System Identification by : Fouad Giri
Download or read book Block-oriented Nonlinear System Identification written by Fouad Giri and published by Springer. This book was released on 2010-09-22 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Block-oriented Nonlinear System Identification deals with an area of research that has been very active since the turn of the millennium. The book makes a pedagogical and cohesive presentation of the methods developed in that time. These include: iterative and over-parameterization techniques; stochastic and frequency approaches; support-vector-machine, subspace, and separable-least-squares methods; blind identification method; bounded-error method; and decoupling inputs approach. The identification methods are presented by authors who have either invented them or contributed significantly to their development. All the important issues e.g., input design, persistent excitation, and consistency analysis, are discussed. The practical relevance of block-oriented models is illustrated through biomedical/physiological system modelling. The book will be of major interest to all those who are concerned with nonlinear system identification whatever their activity areas. This is particularly the case for educators in electrical, mechanical, chemical and biomedical engineering and for practising engineers in process, aeronautic, aerospace, robotics and vehicles control. Block-oriented Nonlinear System Identification serves as a reference for active researchers, new comers, industrial and education practitioners and graduate students alike.
Book Synopsis Nonlinear System Identification by : Stephen A. Billings
Download or read book Nonlinear System Identification written by Stephen A. Billings and published by John Wiley & Sons. This book was released on 2013-07-29 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains describes a comprehensive framework for the identification and analysis of nonlinear dynamic systems in the time, frequency, and spatio-temporal domains. This book is written with an emphasis on making the algorithms accessible so that they can be applied and used in practice. Includes coverage of: The NARMAX (nonlinear autoregressive moving average with exogenous inputs) model The orthogonal least squares algorithm that allows models to be built term by term where the error reduction ratio reveals the percentage contribution of each model term Statistical and qualitative model validation methods that can be applied to any model class Generalised frequency response functions which provide significant insight into nonlinear behaviours A completely new class of filters that can move, split, spread, and focus energy The response spectrum map and the study of sub harmonic and severely nonlinear systems Algorithms that can track rapid time variation in both linear and nonlinear systems The important class of spatio-temporal systems that evolve over both space and time Many case study examples from modelling space weather, through identification of a model of the visual processing system of fruit flies, to tracking causality in EEG data are all included to demonstrate how easily the methods can be applied in practice and to show the insight that the algorithms reveal even for complex systems NARMAX algorithms provide a fundamentally different approach to nonlinear system identification and signal processing for nonlinear systems. NARMAX methods provide models that are transparent, which can easily be analysed, and which can be used to solve real problems. This book is intended for graduates, postgraduates and researchers in the sciences and engineering, and also for users from other fields who have collected data and who wish to identify models to help to understand the dynamics of their systems.
Book Synopsis Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers by : Amithirigala Widhanelage Jayawardena
Download or read book Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers written by Amithirigala Widhanelage Jayawardena and published by CRC Press. This book was released on 2021-01-27 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the core areas of study in civil engineering concerns water that encompasses fluid mechanics, hydraulics and hydrology. Fluid mechanics provide the mathematical and scientific basis for hydraulics and hydrology that also have added empirical and practical contents. The knowledge contained in these three subjects is necessary for the optimal and equitable management of this precious resource that is not always available when and where it is needed, sometimes with conflicting demands. The objective of Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers is to assimilate these core study areas into a single source of knowledge. The contents highlight the theory and applications supplemented with worked examples and also include comprehensive references for follow-up studies. The primary readership is civil engineering students who would normally go through these core subject areas sequentially spread over the duration of their studies. It is also a reference for practicing civil engineers in the water sector to refresh and update their skills.
Author :Massachusetts Institute of Technology. Research Laboratory of Electronics Publisher : ISBN 13 : Total Pages :446 pages Book Rating :4.:/5 (318 download)
Book Synopsis Quarterly Progress Report by : Massachusetts Institute of Technology. Research Laboratory of Electronics
Download or read book Quarterly Progress Report written by Massachusetts Institute of Technology. Research Laboratory of Electronics and published by . This book was released on 1959 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
