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Chaos in a Parametrically Excited Pendulum with Damping Force

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Dynamical Systems and Methods

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Abstract

The shooting method is applied to prove that a damped pendulum with oscillatory forcing makes chaotic motions for certain parameters. The method is more intuitive than the Poincaré map method and provides more information about when the chaos occurs.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Arts and Sciences, Southern Illinois University at Edwardsville, Edwardsville, Illinois, 62026, USA

    Chunqing Lu

Authors
  1. Chunqing Lu
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Correspondence to Chunqing Lu .

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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Lu, C. (2012). Chaos in a Parametrically Excited Pendulum with Damping Force. 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_1

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  • DOI: https://doi.org/10.1007/978-1-4614-0454-5_1

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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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