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The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System

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  • M. S. H. Chowdhury
  • Nur Isnida Razali
  • Waqar Asrar
  • M. M. Rahman

Abstract

The multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü systems. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The results show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems.

Suggested Citation

  • M. S. H. Chowdhury & Nur Isnida Razali & Waqar Asrar & M. M. Rahman, 2015. "The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-17, August.
    • Handle: RePEc:hin:jnlaaa:398027
    DOI: 10.1155/2015/398027
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