Periodic Motions / by Miklós Farkas.

This book sums up the most important results concerning the existence and stability of periodic solutions of ordinary differential equations achieved in the twentieth century along with relevant applications. It differs from standard classical texts on non-linear oscillations in the following featur...

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Bibliographic Details
Main Author: Farkas, Miklós
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1994.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 104.
Subjects:
Online Access:Click for online access

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520 |a This book sums up the most important results concerning the existence and stability of periodic solutions of ordinary differential equations achieved in the twentieth century along with relevant applications. It differs from standard classical texts on non-linear oscillations in the following features: it also contains the linear theory; most theorems are proved with mathematical rigor, besides the classical applications like Van der Pol's, Linard's and Duffing's equations, most applications come from biomathematics. The text is intended for graduate and Ph. D students in mathematics, physics, engineering, and biology, and can be used as a standard reference by researchers in the field of dynamical systems and their applications. 
505 0 |a 1 Introduction -- 2 Periodic Solutions of Linear Systems -- 3 Autonomous Systems in the Plane -- 4 Periodic Solutions of Periodic Systems -- 5 Autonomous Systems of Arbitrary Dimension -- 6 Perturbations -- 7 Bifurcations -- Al Matrices -- A2 Topological Degree and Fixed Point Theorems -- A3 Invariant Manifolds -- References -- Symbols. 
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