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Introduction of Considerable Oscillatory Systems

  • Sayyid Habibollah HashemiKachapiEmail author
  • Davood DomairryGanji
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 202)

Abstract

In this chapter, we introduce some considerable oscillatory systems, including Duffing’s oscillation systems, Van der Pol oscillator systems, Mathieu’s Equation and Ince’s Equation, with their applications, that are the most important ones for analysis of dynamical and vibratory systems.

References

  1. Cesari, L.: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations. Springer, Berlin (1963)Google Scholar
  2. Fidlin, A.: Nonlinear Oscillations in Mechanical Engineering. Springer, Berlin (2006)Google Scholar
  3. Phillips, A.W.: Mechanical Vibrations I (Lecture Notes), UC Course Nr.: 20 MECH-480. Revision: 16 June 2006, University of Cincinnati, Cincinnati, USAGoogle Scholar
  4. Rand, R.H.: Lecture Notes on Nonlinear Vibrations. Cornell University, Ithaca (2005)Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2014

Authors and Affiliations

  • Sayyid Habibollah HashemiKachapi
    • 1
    Email author
  • Davood DomairryGanji
    • 1
  1. 1.Department of Mechanical EngineeringBabol University of TechnologyBabolIran

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