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Selected Papers of Demetrios G. Magiros

Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis

  • Book
  • © 1985

Overview

Editors:
  1. S. G. Tzafestas

    1. Electrical Engineering Department, National Technical University, Athens, Greece

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Table of contents (43 chapters)

  1. Front Matter

    Pages i-xv
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  2. Applied Mathematics and Modelling

    1. Front Matter

      Pages 1-2
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    2. A Class of Nonautonomous Differential Equations Reducible to Autonomous Ones by an Exact Method

      • Demetrios G. Magiros
      Pages 3-10

    3. ΕΦΗΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ. — Nonlinear differential equations with several general solutions

      • Demetrios G. Magiros
      Pages 11-19

    4. ΜΑΘΗΜΑΤΙΚΑ. — The general solutions of nonlinear differential equations as functions of their arbitrary constants

      • Demetrios G. Magiros
      Pages 20-28

    5. ΜΑΘΗΜΑΤΙΚΑ. — Actual Mathematical Solutions of Problems Posed by Reality, I. (A classical Procedure)

      • D. G. Magiros
      Pages 29-37

    6. ΜΑΘΗΜΑΤΙΚΑ. — Actual Mathematical Solutions of Problems Posed by Reality, II. (Applications)

      • D. G. Magiros
      Pages 38-48

    7. Physical Problems Discussed Mathematically

      • Demetrios G. Magiros
      Pages 49-62

    8. Diffraction by a Semi-Infinite Screen With a Rounded End

      • Joseph B. Keller, Demetrios G. Magiros
      Pages 63-77

    9. ΕΦΗΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ. — On the linearization of nonlinear models of the phenomena. First part: Linearization by exact methods

      • Demetrios G. Magiros
      Pages 78-87

    10. ΕΦΗΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ. — On the linearization of nonlinear models of phenomena. Second part: Linearization by approximate methods

      • Demetrios G. Magiros
      Pages 88-102

    11. ΜΑΘΗΜΑΤΙΚΑ. — Characteristic Properties of Linear and Nonlinear Systems

      • Demetrios G. Magiros
      Pages 103-131

    12. Mathematical Models of Physical and Social Systems

      • Demetrios G. Magiros
      Pages 132-191
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Keywords

About this book

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.

Editors and Affiliations

  • Electrical Engineering Department, National Technical University, Athens, Greece

    S. G. Tzafestas

Bibliographic Information

  • Book Title: Selected Papers of Demetrios G. Magiros

  • Book Subtitle: Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis

  • Editors: S. G. Tzafestas

  • DOI: https://doi.org/10.1007/978-94-009-5368-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1985

  • Hardcover ISBN: 978-90-277-2003-0Due: 30 June 1985

  • Softcover ISBN: 978-94-010-8869-5Published: 23 August 2014

  • eBook ISBN: 978-94-009-5368-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XV, 518

  • Topics: Applications of Mathematics, Mathematical Applications in the Physical Sciences, Dynamical Systems and Ergodic Theory

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