Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations (Springer Monographs in Mathematics) - Hardcover

Kozlov, Valery V.; Furta, Stanislav D.

Hardcover

ISBN 10: 364233816X ISBN 13: 9783642338168

Publisher: Springer, 2013

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2013
• Language: English
• ISBN 10: 364233816X
• ISBN 13: 9783642338168
• Binding: Hardcover
• Number of pages: 284