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Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 2024-06-23
Category : Electronic
ISBN : 9789814475792
Author : L. Schimansky-Geier
Publisher : World Scientific
Page : 454 pages
File Size : 51,5 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812706911
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,D.J. Kaup,A.C. Newell,V.E. Zakharov
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642777691
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 : Viktor Grigorʹevich Barʹi︠a︡khtar
Publisher : Unknown
Page : 810 pages
File Size : 41,5 Mb
Release : 1990
Category : Mathematics
ISBN : UCLA:L0061703914
Author : Vadim N. Tsytovich
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642789021
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 : Bar'yakhtar V G,Chernousenko V M,Erokhin Nikolai S
Publisher : World Scientific
Page : 1540 pages
File Size : 54,6 Mb
Release : 1990-09-17
Category : Electronic
ISBN : 9789814740845
Author : Gregoire Nicolis,Cathy Nicolis
Publisher : World Scientific
Page : 343 pages
File Size : 50,6 Mb
Release : 2007
Category : Science
ISBN : 9789812775658
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 : John Grue,Bjørn Gjevik,Jan Erik Weber
Publisher : Springer Science & Business Media
Page : 423 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789400902534
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 : R. Z. Sagdeev
Publisher : Routledge
Page : 690 pages
File Size : 44,7 Mb
Release : 1984
Category : Mathematics
ISBN : UOM:39015017197461
Author : L. Arnold,R. Lefever
Publisher : Springer Science & Business Media
Page : 239 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642680380
This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) ............................. .
Author : Guangsheng He,Song H. Liu
Publisher : World Scientific
Page : 582 pages
File Size : 55,6 Mb
Release : 1999
Category : Science
ISBN : 9810233191
Nonlinear optics has been a rapidly growing field in recent decades. It is based on the study of effects and phenomena related to the interaction of intense coherent light radiation with matter. Physics of Nonlinear Optics describes various major nonlinear optical effects, including physical principles, experimental techniques, up-to-date research achievements, and current or potential applications. This book features clear conceptual descriptions, concise formulations, and emphasizes both theoretical and experimental aspects of nonlinear optics. The readability of this book is particularly enhanced by a series of color photographs showing the spectacular appearances of various nonlinear optical effects. Both authors of this book are outstanding research scientists renowned in their professional areas. Their major research achievements in nonlinear optics include the pioneering studies of two-wave-coupled refractive-index change, Raman-enhanced self-focusing, optical-frequency Pockels effect, stimulated Kerr scattering, optical phase-conjugation via backward stimulated emission, and two-photon-absorption based optical limiting, stabilization and reshaping.
Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 48,5 Mb
Release : 1974-09-20
Category : Mathematics
ISBN : 008095619X
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 : R. Z. Sagdeev
Publisher : Unknown
Page : 508 pages
File Size : 47,9 Mb
Release : 1984
Category : Mathematical physics
ISBN : UOM:39015013056158
Author : D. Biskamp,Dieter Biskamp
Publisher : Cambridge University Press
Page : 400 pages
File Size : 45,5 Mb
Release : 1997-07-17
Category : Mathematics
ISBN : 0521599180
A self-contained introduction to magnetohydrodynamics with emphasis on nonlinear processes.
Author : Norbert Wiener
Publisher : Martino Fine Books
Page : 142 pages
File Size : 54,6 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 1614275106
2013 Reprint of 1958 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. 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. "