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Selected Papers of Demetrios G. Magiros

Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis

  • S. G. Tzafestas

Table of contents

  1. Front Matter
    Pages i-xv
  2. Applied Mathematics and Modelling

  3. Nonlinear Mechanics

    1. Front Matter
      Pages 193-194
    2. Subharmonic Oscillations and Principal Modes

    3. Celestial and Orbital Mechanics

  4. Dynamical Systems Analysis

  5. Appendix: Papers in Russian

  6. Back Matter
    Pages 509-518

About this book

Introduction

The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, para­ metric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits' stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great number of difficult problems of nonlinear mechanics making a significant contri­ bution to the theory and applications of the field. Urgency, depth of perception of the considered phenomena, and practi­ cal directness are characteristics of his work.

Keywords

Applied Mathematics Finite calculus equation function mathematics

Editors and affiliations

  • S. G. Tzafestas
    • 1
  1. 1.Electrical Engineering DepartmentNational Technical UniversityAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5368-0
  • Copyright Information Springer Science+Business Media B.V. 1985
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8869-5
  • Online ISBN 978-94-009-5368-0
  • Buy this book on publisher's site
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