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Introduction of Considerable Oscillatory Systems

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Dynamics and Vibrations

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 202))

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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.

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References

  • Cesari, L.: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations. Springer, Berlin (1963)

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  • Fidlin, A.: Nonlinear Oscillations in Mechanical Engineering. Springer, Berlin (2006)

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  • Phillips, A.W.: Mechanical Vibrations I (Lecture Notes), UC Course Nr.: 20 MECH-480. Revision: 16 June 2006, University of Cincinnati, Cincinnati, USA

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  • Rand, R.H.: Lecture Notes on Nonlinear Vibrations. Cornell University, Ithaca (2005)

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Correspondence to Sayyid Habibollah Hashemi Kachapi .

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Hashemi, S.H., Domairry, D. (2014). Introduction of Considerable Oscillatory Systems. In: Dynamics and Vibrations. Solid Mechanics and Its Applications, vol 202. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6775-1_4

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  • DOI: https://doi.org/10.1007/978-94-007-6775-1_4

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6774-4

  • Online ISBN: 978-94-007-6775-1

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