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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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.
Imprint | Springer-Verlag |
Country of origin | Germany |
Series | Springer Monographs in Mathematics |
Release date | 2013 |
Availability | Expected to ship within 12 - 17 working days |
First published | 2013 |
Authors | Valery V. Kozlov, Stanislav D. Furta |
Translators | Lester Senechal |
Dimensions | 235 x 155 x 21mm (L x W x T) |
Format | Hardcover |
Pages | 264 |
Edition | 2013 ed. |
ISBN-13 | 978-3-642-33816-8 |
Barcode | 9783642338168 |
Languages | value |
Subtitles | value |
Categories | |
LSN | 3-642-33816-X |