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Other Asymptotical Approaches

  • I. Andrianov
  • J. Awrejcewicz
  • L. I. Manevitch
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

We consider pendulum oscillations with small mass governed by the equation
$$\varepsilon \ddot x + \dot x + x = 0,\varepsilon\ll 0$$
(16.1)
, with the following initial condditions
$$x(0) = 0,\dot x(0) = 1$$
(16.2)
.

Keywords

Cauchy Problem Asymptotic Series High Order Approximation Internal Series ASYMPTOTICAL Approach 
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 2004

Authors and Affiliations

  • I. Andrianov
    • 1
    • 2
  • J. Awrejcewicz
    • 3
  • L. I. Manevitch
    • 4
  1. 1.KölnGermany
  2. 2.Pridneprovskaya State Academy of Civil Engineering and ArchitectureDnepropetrovkUkraine
  3. 3.Dept. of Automatics and BiomechanicsTechnical University LodzLodzPoland
  4. 4.N. N. Semenov Institute of Chemical Physics RASMoscowRussian Federation

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