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Introduction to nonlinear oscillations

Author: Vladimir I Nekorkin
Publisher: Weinheim : Wiley-VCH, [2015] ©2015
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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."--Back cover.
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Additional Physical Format: ebook version
Document Type: Book
All Authors / Contributors: Vladimir I Nekorkin
ISBN: 9783527413300 3527413308
OCLC Number: 910847093
Notes: Formerly CIP.
Description: xi, 250 pages : illustrations ; 25 cm
Contents: Introduction to the Theory of Oscillations --
One-Dimensional Dynamics --
Stability of Equilibria. A Classification of Equilibria of Two-Dimensional Linear Systems --
Analysis of the Stability of Equilibria of Multidimensional Nonlinear Systems --
Linear and Nonlinear Oscillators --
Basic Properties of Maps --
Limit Cycles --
Basic Bifurcations of Equilibria in the Plane --
Bifurcations of Limit Cycles. Saddle Homoclinic Bifurcation --
The Saddle-Node Homoclinic Bifurcation. Dynamics of Slow-Fast Systems in the Plane --
Dynamics of a Superconducting Josephson Junction --
The Van der Pol Method. Self-Sustained Oscillations and Truncated Systems --
Forced Oscillations of a Linear Oscillator --
Forced Oscillations in Weakly Nonlinear Systems with One Degree of Freedom --
Forced Synchronization of a Self-Oscillatory System with a Periodic External Force --
Parametric Oscillations --
Answers to Selected Exercises.
Responsibility: Vladimir I. Nekorkin.
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Abstract:

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  Read more...

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"The main concepts, ideas, and tools from nonlinear dynamics are introduced and explained in a very clear manner combining qualitative explanations, illustrations, as well as rigorous definitions." Read more...

 
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