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Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

Springer Berlin,
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With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov’s first method, tackling ordinary differential equations expressed as series form.


Titel: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Autoren/Herausgeber: Valery V. Kozlov, Stanislav D. Furta
Übersetzer: Lester Senechal
Aus der Reihe: Springer Monographs in Mathematics
Ausgabe: 2013

ISBN/EAN: 9783642338168
Originaltitel: Asimptotiki reshenij sil’no nelinejnykh sistem differentsial’nykh uravnenij
Originalsprache: Russisch

Seitenzahl: 264
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 590 g
Sprache: Englisch

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. - Newsletter
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