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Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

  • Valery V. Kozlov
  • Stanislav D. Furta

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Valery V. Kozlov, Stanislav D. Furta
    Pages 1-75
  3. Valery V. Kozlov, Stanislav D. Furta
    Pages 77-130
  4. Valery V. Kozlov, Stanislav D. Furta
    Pages 131-167
  5. Back Matter
    Pages 215-262

About this book

Introduction

The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the basis of the first approximation alone.

The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system’s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.

Keywords

asymptotical solutions first Lyapunov method non-linear systems of differential equations ordinary differential equations

Authors and affiliations

  • Valery V. Kozlov
    • 1
  • Stanislav D. Furta
    • 2
  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Public Administration, Fac. for Innovative and Technological BuRussian Academy of National Economy andMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-33817-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-33816-8
  • Online ISBN 978-3-642-33817-5
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site