Authors:
- Monograph by leading researchers in the theory of dynamical systems
- Book can be used for a graduate course or seminar
- Pedagogic approach, contains many examples
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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.
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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.
Authors and Affiliations
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Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Valery V. Kozlov
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Public Administration, Fac. for Innovative and Technological Bu, Russian Academy of National Economy and, Moscow, Russia
Stanislav D. Furta
Bibliographic Information
Book Title: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Authors: Valery V. Kozlov, Stanislav D. Furta
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-642-33817-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-33816-8Published: 12 January 2013
Softcover ISBN: 978-3-642-43240-8Published: 08 February 2015
eBook ISBN: 978-3-642-33817-5Published: 13 January 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XX, 264
Topics: Ordinary Differential Equations, Dynamical Systems and Ergodic Theory, Mathematical Methods in Physics