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Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators

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  • Karthikeyan Rajagopal
  • Anitha Karthikeyan
  • Prakash Duraisamy
  • Riessom Weldegiorgis

Abstract

A two-degree-of-freedom shape memory oscillator derived using polynomial constitutive model is investigated. Periodic, quasiperiodic, chaotic, and hyperchaotic oscillations are shown by the shape memory alloy based oscillator for selected values of the operating temperatures and excitation parameters. Bifurcation plots are derived to investigate the system behavior with change in parameters. A fractional order model of the shape memory oscillator is presented and dynamical behavior of the system with fractional orders and parameters are investigated.

Suggested Citation

  • Karthikeyan Rajagopal & Anitha Karthikeyan & Prakash Duraisamy & Riessom Weldegiorgis, 2018. "Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators," Complexity, Hindawi, vol. 2018, pages 1-9, January.
    • Handle: RePEc:hin:complx:8365845
    DOI: 10.1155/2018/8365845
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    References listed on IDEAS

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    1. Davide Bernardini & Giuseppe Rega, 2005. "Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 11(3), pages 291-314, September.
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    Cited by:

    1. Karthikeyan Rajagopal & Yesgat Admassu & Riessom Weldegiorgis & Prakash Duraisamy & Anitha Karthikeyan, 2019. "Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow," Complexity, Hindawi, vol. 2019, pages 1-10, October.

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