Homotopy approach for the hyperchaotic Chen system

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this paper, the numerical-analytical solution for the hyperchaotic Chen system is obtained via the multistage homotopy analysis method (MSHAM). An analytical form of the solution within each time interval is given, which is not possible using standard numerical methods. The numerical results obtained by the MSHAM and the classical fourth-order Runge-Kutta (RK4) method are in complete agreement. Moreover, the residual error for the MSHAM solution is given for each time interval.

Original languageEnglish
Article number045005
JournalPhysica Scripta
Volume81
Issue number4
DOIs
Publication statusPublished - 2010

Fingerprint

Chen System
Hyperchaotic System
Homotopy Analysis Method
Homotopy
intervals
Runge-Kutta method
Interval
Runge-Kutta Methods
Fourth Order
Analytical Solution
Numerical Methods
Numerical Results

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

Cite this

Homotopy approach for the hyperchaotic Chen system. / Alomari, A. K.; Md. Noorani, Mohd. Salmi; Mohd. Nazar, Roslinda.

In: Physica Scripta, Vol. 81, No. 4, 045005, 2010.

Research output: Contribution to journalArticle

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