Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Author : John Guckenheimer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields written by John Guckenheimer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.
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
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Author : John M. Guckenheimer
language : en
Publisher:
Release Date : 1986
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields written by John M. Guckenheimer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Author : John Guckenheimer
language : en
Publisher:
Release Date : 2014-09-01
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields written by John Guckenheimer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Author : John Guckenheimer
language : en
Publisher:
Release Date : 1990
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields written by John Guckenheimer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Bifurcation theory categories.
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Author : John Guckenheimer
language : en
Publisher:
Release Date : 2017
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields written by John Guckenheimer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Bifurcation theory categories.
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields
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Author : J. Guckenheimer
language : it
Publisher:
Release Date :
Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields written by J. Guckenheimer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
An Introduction To Chaotic Dynamical Systems
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Author : Robert Devaney
language : en
Publisher: CRC Press
Release Date : 2018-03-09
An Introduction To Chaotic Dynamical Systems written by Robert Devaney and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Mathematics categories.
The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.
Introduction To Nonlinear Oscillations
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Author : Vladimir I. Nekorkin
language : en
Publisher: John Wiley & Sons
Release Date : 2016-05-02
Introduction To Nonlinear Oscillations written by Vladimir I. Nekorkin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-02 with Science categories.
A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.