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Author :
Publisher :
ISBN 13 : 9814475793
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. Schimansky-Geier
Publisher : World Scientific
ISBN 13 : 9812706917
Total Pages : 454 pages
Book Rating : 4.8/5 (127 download)
Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by L. Schimansky-Geier and published by World Scientific. This book was released on 2007 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research. The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.
Author : A.S. Fokas
Publisher : Springer Science & Business Media
ISBN 13 : 3642777694
Total Pages : 343 pages
Book Rating : 4.6/5 (427 download)
Download or read book Nonlinear Processes in Physics written by A.S. Fokas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1979, a historical meeting took place at the Institute for Theoretical Physics in Kiev, USSR, where 48 American Scientists, specialists in nonlinear and turbulent processes, met for two weeks with their soviet counterparts. This meeting pro vided the unique opportunity for USA and USSR participants to directly interact personally and scientifically with each other. This interaction was of great impor not only for the individuals involved but also for the science of nonlinear tance phenomena in general. At the end of the meeting, it was agreed that this exchange should continue, and it was decided to have the next meeting in the USA in 1981. Unfortunately, due to the political situation at that time, the second meeting in the USA never materialized. However, in 1983, the Soviet scientists organized in Kiev a second Workshop. This second meeting was again quite successful. Similar meetings, with growing success were organized at Kiev in 1987, and 1989. It should be noted that 405 participants from 22 countries participated at the fourth Kiev workshop on Nonlinear and Turbulent Processes. The Chainnan of this workshop was V. Zakharov, who has also been a co-chainnan of all the previous workshops.
Author : Y. V. G. S. Murti
Publisher : Springer Nature
ISBN 13 : 3030739791
Total Pages : 188 pages
Book Rating : 4.0/5 (37 download)
Download or read book Physics of Nonlinear Optics written by Y. V. G. S. Murti and published by Springer Nature. This book was released on 2021-07-20 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed to serve as a textbook for courses offered to upper-undergraduate students enrolled in physics. The first edition of this book was published in 2014. As there is a demand for the next edition, it is quite natural to take note of the several advances that have occurred in the subject over the past five years and to decide which of these are appropriate for inclusion at the textbook level, given the fundamental nature and the significance of the subject area. This is the prime motivation for bringing out a revised second edition. Among the newer mechanisms and materials, the book introduces the super-continuum generation, which arises from an excellent interplay of the various mechanisms of optical nonlinearity. The topics covered in this book are quantum mechanics of nonlinear interaction of matter and radiation, formalism and phenomenology of nonlinear wave mixing processes, optical phase conjugation and applications, self-focusing and self-phase modulation and their role in pulse modification, nonlinear absorption mechanisms, and optical limiting applications, photonic switching and bi-stability, and physical mechanisms leading to a nonlinear response in a variety of materials. This book has emerged from an attempt to address the requirement of presenting the subject at the college level. This textbook includes rigorous features such as the elucidation of relevant basic principles of physics; a clear exposition of the ideas involved at an appropriate level; coverage of the physical mechanisms of non-linearity; updates on physical mechanisms and emerging photonic materials and emphasis on the experimental study of nonlinear interactions. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in physics and related courses.
Author : Viktor Grigorʹevich Barʹi︠a︡khtar
Publisher :
ISBN 13 :
Total Pages : 810 pages
Book Rating : 4.:/5 ( download)
Download or read book Nonlinear World written by Viktor Grigorʹevich Barʹi︠a︡khtar and published by . This book was released on 1990 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vadim N. Tsytovich
Publisher : Springer Science & Business Media
ISBN 13 : 3642789021
Total Pages : 381 pages
Book Rating : 4.6/5 (427 download)
Download or read book Lectures on Non-linear Plasma Kinetics written by Vadim N. Tsytovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on Non-linear Plasma Kinetics is an introduction to modern non-linear plasma physics showing how many of the techniques of modern non-linear physics find applications in plasma physics and how, in turn, the results of this research find applications in astrophysics. Emphasis is given to explaining the physics of nonlinear processes and the radical change of cross-sections by collective effects. The author discusses new nonlinear phenomena involving the excitation of coherent nonlinear structures and the dynamics of their random motions in relation to new self-organization processes. He also gives a detailed description of applications of the general theory to various research fields, including the interaction of powerful radiation with matter, controlled thermonuclear research, etc.
Author : L. Schimansky-Geier
Publisher : World Scientific
ISBN 13 : 981270583X
Total Pages : 453 pages
Book Rating : 4.8/5 (127 download)
Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by L. Schimansky-Geier and published by World Scientific. This book was released on 2007 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research.The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.
Author : Mitsuo Kono
Publisher : Springer Science & Business Media
ISBN 13 : 3642146945
Total Pages : 540 pages
Book Rating : 4.6/5 (421 download)
Download or read book Nonlinear Physics of Plasmas written by Mitsuo Kono and published by Springer Science & Business Media. This book was released on 2010-10-17 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.
Author : K. Naugolnykh
Publisher : Cambridge University Press
ISBN 13 : 9780521399845
Total Pages : 316 pages
Book Rating : 4.3/5 (998 download)
Download or read book Nonlinear Wave Processes in Acoustics written by K. Naugolnykh and published by Cambridge University Press. This book was released on 1998-05-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.
Author : Dieter Schuch
Publisher : Springer
ISBN 13 : 3319655949
Total Pages : 258 pages
Book Rating : 4.3/5 (196 download)
Download or read book Quantum Theory from a Nonlinear Perspective written by Dieter Schuch and published by Springer. This book was released on 2018-01-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.
Author : John Grue
Publisher : Springer Science & Business Media
ISBN 13 : 9400902530
Total Pages : 423 pages
Book Rating : 4.4/5 (9 download)
Download or read book Waves and Nonlinear Processes in Hydrodynamics written by John Grue and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: In December 1994 Professor Enok Palm celebrated his 70th birthday and retired after more than forty years of service at the University of Oslo. In view of his outstanding achievements as teacher and scientist a symposium entitled "Waves and Nonlinear Processes in Hydrodynamics" was held in his honour from the 17th to the 19th November 1994 in the locations of The Norwegian Academy of Science and Letters in Oslo. The topics of the symposium were chosen to cover Enok's broad range of scientific work, interests and accomplishments: Marine hydrodynamics, nonlinear wave theory, nonlinear stability, thermal convection and geophys ical fluid dynamics, starting with Enok's present activity, ending with the field where he began his career. This order was followed in the symposium program. The symposium had two opening lectures. The first looked back on the history of hydrodynamic research at the University of Oslo. The second focused on applications of hydrodynamics in the offshore industry today.
Author :
Publisher : Academic Press
ISBN 13 : 9780080956190
Total Pages : 322 pages
Book Rating : 4.9/5 (561 download)
Download or read book Nonlinear Processes in Engineering written by and published by Academic Press. This book was released on 1974-09-20 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : Gregoire Nicolis
Publisher : World Scientific
ISBN 13 : 981277565X
Total Pages : 343 pages
Book Rating : 4.8/5 (127 download)
Download or read book Foundations of Complex Systems written by Gregoire Nicolis and published by World Scientific. This book was released on 2007 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.
Author : M. Reza Rahimi Tabar
Publisher : Springer
ISBN 13 : 3030184722
Total Pages : 280 pages
Book Rating : 4.0/5 (31 download)
Download or read book Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems written by M. Reza Rahimi Tabar and published by Springer. This book was released on 2019-07-04 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation? Here, the term "non-parametrically" exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data. The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results. The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations. The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements.
Author : T. J. M. Boyd
Publisher : Cambridge University Press
ISBN 13 : 9780521459129
Total Pages : 548 pages
Book Rating : 4.4/5 (591 download)
Download or read book The Physics of Plasmas written by T. J. M. Boyd and published by Cambridge University Press. This book was released on 2003-01-23 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Physics of Plasmas provides a comprehensive introduction to the subject, illustrating the basic theory with examples drawn from fusion, space and astrophysical plasmas. A particular strength of the book is its discussion of the various models used to describe plasma physics and the relationships between them. These include particle orbit theory, fluid equations, ideal and resistive magnetohydrodynamics, wave equations and kinetic theory. The reader will gain a firm grounding in the fundamentals, and develop this into an understanding of some of the more specialised topics. Throughout the text, there is an emphasis on the physical interpretation of plasma phenomena. Exercises are provided throughout. Advanced undergraduate and graduate students of physics, applied mathematics, astronomy and engineering will find a clear but rigorous explanation of the fundamental properties of plasmas with minimal mathematical formality. This book will also appeal to research physicists, nuclear and electrical engineers.
Author : Paul Edgar Phillipson
Publisher : World Scientific
ISBN 13 : 9814271608
Total Pages : 238 pages
Book Rating : 4.8/5 (142 download)
Download or read book Modeling by Nonlinear Differential Equations written by Paul Edgar Phillipson and published by World Scientific. This book was released on 2009 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions. Sample Chapter(s). Chapter 1: Theme and Contents of this Book (85 KB). Contents: Theme and Contents of this Book; Processes in closed and Open Systems; Dynamics of Molecular Evolution; Relaxation Oscillations; Order and Chaos; Reaction Diffusion Dynamics; Solitons; Neuron Pulse Propagation; Time Reversal, Dissipation and Conservation. Readership: Advanced undergraduates, graduate students and researchers in physics, chemistry, biology or bioinformatics who are interested in mathematical modeling.
Author : Peter E. Powers
Publisher : CRC Press
ISBN 13 : 1498736866
Total Pages : 566 pages
Book Rating : 4.4/5 (987 download)
Download or read book Fundamentals of Nonlinear Optics written by Peter E. Powers and published by CRC Press. This book was released on 2017-04-27 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the 1st Edition: "well written and up to date.... The problem sets at the end of each chapter reinforce and enhance the material presented, and may give students confidence in handling real-world problems." ―Optics & Photonics News "rigorous but simple description of a difficult field keeps the reader’s attention throughout.... serves perfectly for an introductory-level course." ―Physics Today This fully revised introduction enables the reader to understand and use the basic principles related to many phenomena in nonlinear optics and provides the mathematical tools necessary to solve application-relevant problems. The book is a pedagogical guide aimed at a diverse audience including engineers, physicists, and chemists who want a tiered approach to understanding nonlinear optics. The material is augmented by numerous problems, with many requiring the reader to perform real-world calculations for a range of fields, from optical communications to remote sensing and quantum information. Analytical solutions of equations are covered in detail and numerical approaches to solving problems are explained and demonstrated. The second edition expands the earlier treatment and includes: A new chapter on quantum nonlinear optics. Thorough treatment of parametric optical processes covering birefringence, tolerances and beam optimization to design and build high conversion efficiency devices. Treatment of numerical methods to solving sets of complex nonlinear equations. Many problems in each chapter to challenge reader comprehension. Extended treatment of four-wave mixing and solitons. Coverage of ultrafast pulse propagation including walk-off effects.
