Periodic Motions / Edition 1

Periodic Motions / Edition 1

by Miklos Farkas
     
 

ISBN-10: 1441928383

ISBN-13: 9781441928382

Pub. Date: 12/03/2010

Publisher: Springer New York

A summary of the most important results in the existence and stability of periodic solutions for ordinary differential equations achieved in the twentieth century, along with relevant applications. It differs from standard classical texts on non-linear oscillations in that it also contains linear theory; theorems are proved with mathematical rigor; and, besides the

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Overview

A summary of the most important results in the existence and stability of periodic solutions for ordinary differential equations achieved in the twentieth century, along with relevant applications. It differs from standard classical texts on non-linear oscillations in that it also contains linear theory; theorems are proved with mathematical rigor; and, besides the classical applications such as Van der Pol's, Linard's and Duffing's equations, most applications come from biomathematics.
For graduate and Ph.D students in mathematics, physics, engineering, and biology, and as a standard reference for use by researchers in the field of dynamical systems and their applications.

Product Details

ISBN-13:
9781441928382
Publisher:
Springer New York
Publication date:
12/03/2010
Series:
Applied Mathematical Sciences Series, #104
Edition description:
Softcover reprint of hardcover 1st ed. 1994
Pages:
578
Product dimensions:
1.21(w) x 9.21(h) x 6.14(d)

Table of Contents

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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