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ISBN: 9780792346050
ID: 6386133
Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is. Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N.M. Krylov, N.N. Bogoli- ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi- cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We USE these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations. Books, Technology, Engineering and Agriculture~~Mechanical Engineering & Materials~~Materials Science, Applied Asymptotic Methods In Nonlinear Oscillations~~Book~~9780792346050~~IU.A. Mitropol'skii, Nguyen Van Dao, , , , , , , , , ,, [PU: Kluwer Academic Publishers]
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Yuri A. Mitropolsky, Nguyen Van Dao:
Applied Asymptotic Methods in Nonlinear Oscillations (Solid Mechanics and Its Applications) - edition reliée, livre de pocheISBN: 079234605X
[SR: 8353887], Hardcover, [EAN: 9780792346050], Springer, Springer, Book, [PU: Springer], 1997-07-31, Springer, Many dynamical systems are described by differential equations that can be separated into one part,...., 922354, Mechanics, 278122, Civil Engineering, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922390, Engineering Physics, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278240, Dynamics & Vibration, 278229, Mechanical & Materials Engineering, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278329, Applied Mathematics, 922530, Mathematical Modelling, 278335, Mathematics for Scientists & Engineers, 278419, Physics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922858, Chaos & Dynamic Systems, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922846, Mechanics, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278443, States of Matter, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922952, Physics, 277889, Cosmology, 278439, Relativity, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 571050, Mechanical & Material Engineering, 564346, Engineering, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570874, Applied Mathematics, 570896, Non-linear Science, 570882, Scientific & Engineering Mathematics, 570878, Statistics & Probability, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 571010, Mechanics, 564354, Physics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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Applied Asymptotic Methods in Nonlinear Oscillations (Solid Mechanics and Its Applications) - edition reliée, livre de poche
ISBN: 079234605X
[SR: 8200975], Hardcover, [EAN: 9780792346050], Springer, Springer, Book, [PU: Springer], Springer, Many dynamical systems are described by differential equations that can be separated into one part,...., 922354, Mechanics, 278122, Civil Engineering, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922390, Engineering Physics, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278240, Dynamics & Vibration, 278229, Mechanical & Materials Engineering, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278329, Applied Mathematics, 922530, Mathematical Modelling, 278335, Mathematics for Scientists & Engineers, 278419, Physics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922858, Chaos & Dynamic Systems, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922846, Mechanics, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278443, States of Matter, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922952, Physics, 277889, Cosmology, 278439, Relativity, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 571050, Mechanical & Material Engineering, 564346, Engineering, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570874, Applied Mathematics, 570896, Non-linear Science, 570882, Scientific & Engineering Mathematics, 570878, Statistics & Probability, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 571010, Mechanics, 564354, Physics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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ISBN: 9780792346050
ID: 513a2db6fd37b700134b530b7c990a37
Applied Asymptotic Methods in Nonlinear Oscillations Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We use these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-4605-0, Springer
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ISBN: 9780792346050
ID: 978079234605
The present volume addresses the application of asymptotic methods in nonlinear oscillations. Such methods see a large variety of applications in physics, mechanics and engineering. The advantages of using asymptotic methods in solving nonlinear problems are firstly simplicity, especially for computing higher approximations, and secondly their applicability to a large class of quasi-linear systems. In contrast to the existing literature, this book is concerned with the applied aspects of the methods concerned and also contains problems relevant to the everyday practice of engineers, physicists and mathematicians. Usually, dynamics systems are classified and examined by their degrees of freedom. This book is constructed from another point of view based upon the originating mechanism of the oscillations: free oscillation, self-excited oscillation, forced oscillation, and parametrically excited oscillation. The text has been designed to cover material from the elementary to the more advanced, in increasing order of difficulty. It is of considerable interest to both students and researchers in applied mathematics, physical and mechanical sciences, and engineering. Yuri A. Mitropolsky, Books, Science and Nature, Mathematics, Differential Equations, Applied Asymptotic Methods in Nonlinear Oscillations Books>Science and Nature>Mathematics>Differential Equations, Springer Netherlands
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Titre: | Applied Asymptotic Methods in Nonlinear Oscillations (Solid Mechanics and Its Applications) |
ISBN: | 9780792346050 |
Informations détaillées sur le livre - Applied Asymptotic Methods in Nonlinear Oscillations (Solid Mechanics and Its Applications)
EAN (ISBN-13): 9780792346050
ISBN (ISBN-10): 079234605X
Version reliée
Date de parution: 1997
Editeur: Springer-Verlag GmbH
356 Pages
Poids: 0,695 kg
Langue: eng/Englisch
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ISBN/EAN: 9780792346050
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