1.

Record Nr.

UNINA9910958991203321

Autore

Farkas Miklós

Titolo

Periodic Motions / / by Miklos Farkas

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 1994

ISBN

1-4757-4211-8

Edizione

[1st ed. 1994.]

Descrizione fisica

1 online resource (XIV, 578 p.)

Collana

Applied Mathematical Sciences, , 2196-968X ; ; 104

Disciplina

515

Soggetti

Mathematical analysis

Biomathematics

Chemometrics

Computational intelligence

Mathematical physics

Analysis

Mathematical and Computational Biology

Mathematical Applications in Chemistry

Computational Intelligence

Mathematical Methods in Physics

Theoretical, Mathematical and Computational Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"With 105 Illustrations."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

"The task is done; the Maker rests. And lo! The engine turns. A million years shall flow, Ere round its axle shall the wheel run slow And a new cog be needed .... " Mad8.ch: The Tragedy of Man J.C.W. Horne's translation In this book I tried to sum up the facts and results I considered most important concerning periodic solutions of ordinary differential equations (ODEs) produced by this century from Henri Poincare up to the youngest mathematician appearing in the list of



references. I have included also some results of my own that did not find their way into monographs in the past. I have done research in this direction for more than 25 years and have given graduate courses about some of the topics covered for many years at the Budapest University of Technology and also at the Universidad Central de Venezuela in Caracas. I hope that people interested in differential equations and applications may use this experience. Some may say that periodic solutions of ODEs has been a closed chapter of mathematics for some time.