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Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System

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  • Asad Freihat
  • Shaher Momani

Abstract

We numerically investigate the dynamical behavior of the fractional-order Chua's system. By utilizing the multistep generalized differential transform method (MSGDTM), we find that the fractional-order Chua's system with “effective dimension” less than three can exhibit chaos as well as other nonlinear behavior. Numerical results are presented graphically and reveal that the multistep generalized differential transform method is an effective and convenient method to solve similar nonlinear problems in fractional calculus.

Suggested Citation

  • Asad Freihat & Shaher Momani, 2012. "Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-12, November.
    • Handle: RePEc:hin:jnddns:427393
    DOI: 10.1155/2012/427393
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