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Characterizing Nonlinear Dynamic Systems

Periodicity Ratio and Statistic Hypothesis

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Nonlinear Approaches in Engineering Applications

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Abstract

This chapter is on analyzing nonlinear dynamic systems with employment of Periodicity Ratio and a statistic hypothesis. By introducing the statistical hypothesis, the efficiency and accuracy of diagnosing the nonlinear characteristics of dynamic systems are improved. A new approach of accurately determining the Periodicity Ratio is developed. Overlapping points in a Poincare map are verified on a statistically sound basis. The characteristics of nonlinear systems are investigated by using the present approach. The numerical results generated by the approach are compared with those of the conventional approaches. The distinguished advantages of the approach are presented.

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Authors and Affiliations

  1. Industrial Systems Engineering, University of Regina, Regina, SK, Canada, S4S 0A2

    Liming Dai & Lu Han

Authors
  1. Liming Dai
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  2. Lu Han
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Correspondence to Liming Dai .

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Editors and Affiliations

  1. , Industrial Systems Engineering, University of Regina, Wascana Parkway, Regina, S4S 0A2, Saskatchewan, Canada

    Liming Dai

  2. School of Aerospace, Mechanical, and Man, RMIT University, Bandoora Campus, Building 251.03.42, Melbourne, 3083, Victoria, Australia

    Reza N. Jazar

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Dai, L., Han, L. (2012). Characterizing Nonlinear Dynamic Systems. In: Dai, L., Jazar, R. (eds) Nonlinear Approaches in Engineering Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1469-8_1

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  • DOI: https://doi.org/10.1007/978-1-4614-1469-8_1

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1468-1

  • Online ISBN: 978-1-4614-1469-8

  • eBook Packages: EngineeringEngineering (R0)

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