Asymptotic solutions of strongly nonlinear systems of differential equations

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 th...

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Hlavní autoři: Kozlov, Valerij Viktorovič, 1950-, Furta, Stanislav D., 19..- (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2013.
Edice:Springer Monographs in Mathematics
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Edition sous un autre format:• Asymptotic solutions of strongly nonlinear systems of differential equations, Valery V. Kozlov, Stanislav D. Furta, Heidelberg, Springer, 2013, 1 vol. (XIX-262 p.), Springer monographs in mathematics, 978-3-642-33816-8
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Shrnutí: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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Archives Springer e-books (Licence nationale)
ISBN:9783642338175
ISSN:2196-9922
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