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Periodic Motions

  • Textbook
  • © 1994

Overview

Authors:
  1. Miklós Farkas

    1. Department of Mathematics, Budapest University of Technology, Budapest, Hungary

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Part of the book series: Applied Mathematical Sciences (AMS, volume 104)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Miklós Farkas
    Pages 1-43

  3. Periodic Solutions of Linear Systems

    • Miklós Farkas
    Pages 45-82

  4. Autonomous Systems in the Plane

    • Miklós Farkas
    Pages 83-149

  5. Periodic Solutions of Periodic Systems

    • Miklós Farkas
    Pages 151-203

  6. Autonomous Systems of Arbitrary Dimension

    • Miklós Farkas
    Pages 205-300

  7. Perturbations

    • Miklós Farkas
    Pages 301-397

  8. Bifurcations

    • Miklós Farkas
    Pages 399-502

  9. Back Matter

    Pages 503-578
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Keywords

About this book

"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.

Authors and Affiliations

  • Department of Mathematics, Budapest University of Technology, Budapest, Hungary

    Miklós Farkas

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