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Book Cover
E-book
Author Kozlov, V. V. (Valeriĭ Viktorovich)

Title Asymptotic solutions of strongly nonlinear systems of differential equations / Valery V. Kozlov, Stanislav D. Furta
Published Berlin ; New York : Springer, ©2013

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Description 1 online resource
Series Springer monographs in mathematics, 1439-7382
Springer monographs in mathematics.
Contents Semi-quasihomogeneous Systems of Differential Equations -- The Critical Case of Pure Imaginary Roots -- Singular Problems -- Inversion Problem for the Lagrange Theorem on the Stability of Equilibrium and Related Problems
Summary 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
Analysis Mathematics
Differentiable dynamical systems
Differential Equations
Mathematical physics
Ordinary Differential Equations
Dynamical Systems and Ergodic Theory
Mathematical Methods in Physics
Bibliography Includes bibliographical references and index
Subject Differential equations -- Asymptotic theory.
MATHEMATICS -- Differential Equations -- General.
Ecuaciones diferenciales -- Teoría asintótica
Differential equations -- Asymptotic theory
System von gewöhnlichen Differentialgleichungen
Nichtlineares Differentialgleichungssystem
Asymptotisches Lösungsverhalten
Form Electronic book
Author Furta, Stanislav D.
ISBN 9783642338175
3642338178
Other Titles Asimptotiki reshenij sil'no nelinejnykh sistem differentsial'nykh uravnenij. English