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Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

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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.

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Series Title

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Call Number

510

Publisher

Berlin, Heidelberg : Springer Berlin, Heidelberg., 2013

Collation

Mathematics

Language

English

ISBN/ISSN

978-3-642-33817-5

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Mathematical Methods in Physics
Mathematical Methods

Specific Detail Info

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Statement of Responsibility

Valery V. Kozlov,

Other Information

Cataloger

Suwardi

Source

https://link.springer.com/book/10.1007/978-3-642-33817-5

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