Nonlinear Oscillations in Biology and Chemistry, Hans G. Othmer

Автор: Guckenheimer John, Holmes Philip
Название: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
ISBN: 0387908196 ISBN-13(EAN): 9780387908199
Издательство: Springer
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Цена: 121110.00 T
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Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2

Автор: Mickens Ronald E
Название: Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods
ISBN: 981429165X ISBN-13(EAN): 9789814291651
Издательство: World Scientific Publishing
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Цена: 100320.00 T
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Описание: Provides a presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. This volume gives a general overview of the author`s work on harmonic balance, iteration and combined linearization-averaging methods.

Название: Shocks, singularities and oscillations in nonlinear optics and fluid mechanics
ISBN: 3319520415 ISBN-13(EAN): 9783319520414
Издательство: Springer
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Цена: 102480.00 T
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Описание: The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015.

Автор: Hayashi Chihiro
Название: Nonlinear Oscillations in Physical Systems
ISBN: 0691611203 ISBN-13(EAN): 9780691611204
Издательство: Wiley
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Цена: 79200.00 T
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Описание: This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Pr

Автор: Yuri A. Mitropolsky; Nguyen Van Dao
Название: Applied Asymptotic Methods in Nonlinear Oscillations
ISBN: 079234605X ISBN-13(EAN): 9780792346050
Издательство: Springer
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Цена: 204040.00 T
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Описание: 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. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations.

Автор: P.S Landa
Название: Nonlinear Oscillations and Waves in Dynamical Systems
ISBN: 9048146704 ISBN-13(EAN): 9789048146703
Издательство: Springer
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Цена: 130430.00 T
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Автор: Arkadii Kh. Gelig; Alexander N. Churilov
Название: Stability and Oscillations of Nonlinear Pulse-Modulated Systems
ISBN: 1461272696 ISBN-13(EAN): 9781461272694
Издательство: Springer
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Цена: 95770.00 T
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Автор: ALBRECHT; COLLATZ; KIRCHG?SSNER
Название: Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations
ISBN: 3764310987 ISBN-13(EAN): 9783764310981
Издательство: Springer
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Цена: 74530.00 T
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Автор: Yuri A. Mitropolsky; Nguyen Van Dao
Название: Applied Asymptotic Methods in Nonlinear Oscillations
ISBN: 9048148650 ISBN-13(EAN): 9789048148653
Издательство: Springer
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Цена: 204040.00 T
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Описание: 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. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations.

Автор: Anatolii M. Samoilenko; R. Petryshyn
Название: Multifrequency Oscillations of Nonlinear Systems
ISBN: 9048165741 ISBN-13(EAN): 9789048165742
Издательство: Springer
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Цена: 93160.00 T
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Автор: Alexander Fidlin
Название: Nonlinear Oscillations in Mechanical Engineering
ISBN: 3642066348 ISBN-13(EAN): 9783642066344
Издательство: Springer
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Цена: 113180.00 T
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Описание: Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions.

Автор: Guckenheimer, John Holmes, Philip
Название: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
ISBN: 1461270200 ISBN-13(EAN): 9781461270201
Издательство: Springer
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Цена: 79190.00 T
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Описание: Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.