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Characteristics Diagnosis of Nonlinear Dynamical Systems

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Dynamical Systems and Methods

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Abstract

This chapter is on the updated methodologies of diagnosing characteristics of nonlinear dynamic systems. The widely used and most applicable methods and approaches in characterizing the nonlinear behaviors of the systems are reviewed briefly. Characteristics of Lyapunov exponents and recently developed periodicity ratio approach are described in detail and compared. The applicability and efficiency of the approaches are presented and compared.

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Author information

Authors and Affiliations

  1. University of Regina, Regina, SK, S4S 0A2, Canada

    Liming Dai & Lu Han

Authors
  1. Liming Dai
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  2. Lu Han
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Corresponding author

Correspondence to Liming Dai .

Editor information

Editors and Affiliations

  1. Edwardsville, School of Engineering, Southern Illinois University, Room: EB2064, Edwardsville, 62026-1805, USA

    Albert C.J. Luo

  2. Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Rua Dr António Bernadino Almeida 431, Porto, 4200-072, Portugal

    José António Tenreiro Machado

  3. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

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Dai, L., Han, L. (2012). Characteristics Diagnosis of Nonlinear Dynamical Systems. In: Luo, A., Machado, J., Baleanu, D. (eds) Dynamical Systems and Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0454-5_3

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  • DOI: https://doi.org/10.1007/978-1-4614-0454-5_3

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0453-8

  • Online ISBN: 978-1-4614-0454-5

  • eBook Packages: EngineeringEngineering (R0)

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