Introduction To Nonlinear Oscillations

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Introduction to Nonlinear Oscillations

Author: Vladimir I. Nekorkin
language: en
Publisher: John Wiley & Sons
Release Date: 2015-04-01
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.
Nonlinear Oscillations and Waves in Dynamical Systems

Author: Polina Solomonovna Landa
language: en
Publisher: Springer Science & Business Media
Release Date: 1996-02-29
This volume is an up-to-date treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view. Also, the relation between the theory of oscillations and waves, nonlinear dynamics and synergetics is discussed. One of the purposes of this book is to convince readers of the necessity of a thorough study of the theory of oscillations and waves, and to show that such popular branches of science as nonlinear dynamics, and synergetic soliton theory, for example, are in fact constituent parts of this theory. Audience: This book will appeal to researchers whose work involves oscillatory and wave processes, and students and postgraduates interested in the general laws and applications of the theory of oscillations and waves.
An Introduction to Nonlinear Oscillations

An introductory account of the equations describing nonlinear oscillations & the methods for solving them.