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Oscillations in Nonlinear Systems (Dover Books on Mathematics) de Jack K. Hale

Descripción - Reseña del editor By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples. Contraportada By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples. Dover (2015) republication of the edition originally published by McGraw-Hill, New York, in 1963, and reprinted by Dover Publications, Inc., in 1992.See every Dover book in print atwww.doverpublications.com Biografía del autor A longtime professor at Brown University, Jack K. Hale is Regents Professor Emeritus at the Georgia Institute of Technology and the author of Dover's Ordinary Differential Equations.

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Name: Oscillations in Nonlinear Systems (Dover Books on Mathematics)
Autor: Jack K. Hale
Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
Tamaño del archivo: 11 MB
Tipos de archivo: PDF Document
Descargada: 125 times
Idioma: Español
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Lee un libro Oscillations in Nonlinear Systems (Dover Books on Mathematics) de Jack K. Hale libros ebooks

Oscillations in Nonlinear Systems (Dover Books on ~ Oscillations in Nonlinear Systems (Dover Books on Mathematics) Paperback – May 20, 2015 by Jack K. Hale (Author) › Visit 's Jack K. Hale Page. Find all the books, read about the author, and more. See search results for this author. Are you an author? Learn .

Oscillations in Nonlinear Systems - Dover Books ~ By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. An indispensable resource for engineers and mathematicians with a knowledge of elementary differential equations and matrices, the text features numerous clear .

Dover Books On Mathematics - Oscillations In Nonlinear Systems ~ By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of .

Linear Algebra (Dover Books on Mathematics): ~ Linear Algebra (Dover Books on Mathematics): : Shilov, Georgi E., Silverman, Richard A.: Libros en idiomas extranjeros

Nonlinear Oscillations, Dynamical Systems, and ~ Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Applied Mathematical Sciences: : Guckenheimer, John, Holmes, Philip: Libros en idiomas extranjeros

Nonlinear Mathematics (Dover Books on Mathematics): Thomas ~ Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topic found in the scattered literature. Accessible to nonmathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research toward a unifying theory of nonlinear mathematics.

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Dover Books on Mathematics / Publisher Series / LibraryThing ~ Lectures on Linear Algebra (Dover Books on Mathematics) by Israel M. Gelfand: Lectures on Partial Differential Equations (Dover Books on Mathematics) by I. G. Petrovsky: Lectures on the theory of elliptic functions: Analysis by Harris Hancock: Lectures on the theory of functions of real variables by James Pierpont: Lie Algebras by Nathan Jacobson

Oscillations and Waves - in Linear and Nonlinear Systems ~ Oscillations and Waves in Linear and Nonlinear Systems. Authors: Rabinovich, M.I, Trubetskov, D.I. Free Preview

Nonlinear Oscillations / Wiley ~ A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. Begins with fundamental concepts and techniques of analysis and progresses through recent developments. Provides an overview that abstracts and introduces main nonlinear phenomena. Treats systems having a single degree of freedom, introducing basic concepts and analytical .

Nonlinear Oscillations / Nonlinear and Complex Systems ~ A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. Begins with fundamental concepts and techniques of analysis and progresses through recent developments. Provides an overview that abstracts and introduces main nonlinear phenomena. Treats systems having a single degree of freedom, introducing basic concepts and analytical .

Dover Books on Advanced Mathematics / Publisher Series ~ First Order Mathematical Logic (Dover Books on Mathematics) by Angelo Margaris: First-Order Logic by Raymond Smullyan: Foundations of Modern Analysis by Avner Friedman: Foundations of Potential Theory by Oliver D. Kellogg: Fourier Integral and Certain of Its Applications by Norbert Wiener: Fourier Series (Dover Books on Mathematics) by Georgi P .

Oscillations and waves in linear and nonlinear systems ~ Examples of Nonlinear Systems.- 13.3. Nonlinear Resonance.- 13.4. Overlap between Nonlinear Resonances.- 14. Periodic Self-Excited Oscillations.- 14.1. Definitions.- 14.2. The Van der Pol Generator. Self-Excited Oscillations as a Function of System Parameters.- 14.3. Relaxational Self-Excited Oscillations. Fast and Slow Motions.- 15. General .

Introduction to Nonlinear Oscillations / Wiley Online Books ~ Forced Oscillations in Weakly Nonlinear Systems with One Degree of Freedom (Pages: 185-196) Summary; PDF Request permissions; CHAPTER 15. Forced Synchronization of a Self‐Oscillatory System with a Periodic External Force (Pages: 197-208) Summary; PDF .

Nonlinear Oscillations / Wiley Online Books ~ Treats systems having a single degree of freedom, introducing basic concepts and analytical methods; extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Uses simple physical examples to explain nonlinear dispersive and nondispersive waves.

Oscillations, theory of - Encyclopedia of Mathematics ~ In the theory of non-linear oscillations, dissipative systems play an important role (these are systems of type (4) the solutions to which remain in a fixed ball for sufficiently large $ t $, cf. Dissipative system) and systems with convergences (in such systems all solutions converge to a single stable solution); fairly reliable methods have been developed for the proof of convergence and .

Nonlinear oscillations (Book, 1979) [WorldCat] ~ --Nonconservative Single-Degree-of-Freedom Systems. --Forced Oscillations of Systems Having a Single Degree of Freedom. --Parametrically Excited Systems. --Systems Having Finite Degrees of Freedom. --Continuous Systems. --Traveling Waves. --References. --Index. Series Title: Pure and applied mathematics. Responsibility: Ali Hasan Nayfeh, Dean T .

Non-linear oscillations - Encyclopedia of Mathematics ~ In a number of problems on non-linear oscillations of essentially non-linear autonomous systems, the method of normal forms has proved effective (see , , Chapts. VI–VIII). Of the other methods for studying essentially non-linear systems the method of point mappings (see [2] , [11] ), the stroboscopic method [12] and methods of functional analysis [13] have been applied.

Lecture Notes on Nonlinear Vibrations ~ R.Rand Nonlinear Vibrations 5 If det> 0andtr2 > 4 det, then there are still two real eigenvalues, but both have the same sign as the trace tr. If tr > 0, then both eigenvalues are positive and the solution becomes unbounded as t goes to inﬁnity. This linear system is called an unstable node. The general solution is a linear combination of the two eigensolutions, and for large time the .

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Oscillations and Waves: in Linear and Nonlinear Systems ~ Oscillations and Waves: in Linear and Nonlinear Systems: Rabinovich, M.I, Trubetskov, D.I.: 9780792304456: Books - .ca

Nonlinear Oscillations and Waves in Dynamical Systems ~ 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 .

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Nonlinear Oscillation - UCSB Physics ~ Nonlinear Oscillation Up until now, we’ve been considering the di erential equation for the (damped) harmonic oscillator, y + 2 y_ + !2y= L y= f(t): (1) Due to the linearity of the di erential operator on the left side of our equation, we were able to make use of a large number of theorems in nding the solution to this equation.

Oscillations / SpringerLink ~ The general theory and solution methods for linear equations are highly developed in mathematics, whereas a very little is known about nonlinear equations. Linearization of a nonlinear system does not provide the actual solution behaviors of the original nonlinear system. Nonlinear systems have interesting solution features.