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Introduction: Some General Principles of Asymptotology

  • Jan Awrejcewicz
  • Igor V. Andrianov
  • Leonid I. Manevitch
Chapter
  • 254 Downloads
Part of the Springer Series in Synergetics book series (SSSYN, volume 69)

Abstract

Almost any physical theory formulated in mathematical terms in a general way is extremely complicated. Therefore, both in creating a theory and in its further development, the simplest limiting cases that admit analytical solutions are of paramount importance. It is quite common that in the limiting case there are fewer equations or the (differential) equation has a lower order or the nonlinear equation is replaced by a linear one or the original system is subjected to a kind of averaging and so on and so forth.

Keywords

Asymptotic Method Celestial Mechanic Asymptotic Approach Normal Oscillation Pade Approximants 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Jan Awrejcewicz
    • 1
  • Igor V. Andrianov
    • 2
  • Leonid I. Manevitch
    • 3
  1. 1.Division of Control and Biomechanics (I-10)Technical University of LódzLódzPoland
  2. 2.Pridneprovye State Academy of Civil Engineering and ArchitectureDnepropetrovskUkraine
  3. 3.Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia

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