Nonlinear Oscillations and Waves in Dynamical Systems

Nonlinear Oscillations and Waves in Dynamical Systems PDF Author: P.S Landa
Publisher: Springer Science & Business Media
ISBN: 9401587639
Category : Mathematics
Languages : en
Pages : 550

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Book Description
A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Nonlinear Oscillations and Waves in Dynamical Systems

Nonlinear Oscillations and Waves in Dynamical Systems PDF Author: P.S Landa
Publisher: Springer Science & Business Media
ISBN: 9401587639
Category : Mathematics
Languages : en
Pages : 550

Get Book Here

Book Description
A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Collected Reprints in Oceanography and Meteorology

Collected Reprints in Oceanography and Meteorology PDF Author: Texas. Agricultural and Mechanical College, College Station. Dept. of Oceanography and Meteorology
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 448

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Book Description


A Modern Introduction to the Mathematical Theory of Water Waves

A Modern Introduction to the Mathematical Theory of Water Waves PDF Author: Robin Stanley Johnson
Publisher: Cambridge University Press
ISBN: 9780521598323
Category : Mathematics
Languages : en
Pages : 468

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Book Description
This text considers classical and modern problems in linear and non-linear water-wave theory.

Oscillations and Waves

Oscillations and Waves PDF Author: M.I Rabinovich
Publisher: Taylor & Francis
ISBN: 9780792304456
Category : Gardening
Languages : en
Pages : 610

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Book Description
'Et mai *...* si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Oceanography

Oceanography PDF Author:
Publisher:
ISBN:
Category : Chemical oceanography
Languages : en
Pages : 374

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Book Description


Vibrations and Waves

Vibrations and Waves PDF Author: A.P. French
Publisher: CRC Press
ISBN: 1482289350
Category : Science
Languages : en
Pages : 329

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Book Description
The M.I.T. Introductory Physics Series is the result of a program of careful study, planning, and development that began in 1960. The Education Research Center at the Massachusetts Institute of Technology (formerly the Science Teaching Center) was established to study the process of instruction, aids thereto, and the learning process itself, with special reference to science teaching at the university level. Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.

Oceanography

Oceanography PDF Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Chemical oceanography
Languages : en
Pages : 388

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Book Description


Geometric Aspects of Harmonic Analysis

Geometric Aspects of Harmonic Analysis PDF Author: Paolo Ciatti
Publisher: Springer Nature
ISBN: 3030720586
Category : Mathematics
Languages : en
Pages : 488

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Book Description
This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables. The work is addressed to researchers in the field.

Oscillators and Oscillatory Signals from Smooth to Discontinuous

Oscillators and Oscillatory Signals from Smooth to Discontinuous PDF Author: Valery N. Pilipchuk
Publisher: Springer Nature
ISBN: 3031377885
Category : Science
Languages : en
Pages : 461

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Book Description
This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford’s algebras, give rise to the essentially nonlinear “quasi-impact” methodology based on the idea of non-smooth temporal substitutions. In the years since “Nonlinear Dynamics: Between Linear and Impact Limits,” the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 =± 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools.

Subject Guide to Books in Print

Subject Guide to Books in Print PDF Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2460

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Book Description