Analytical Solution of Hyperchaotic Zhou Equations by Multistage Homotopy Analysis Method

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Y.M. Rangkuti, A.K. Alomari

2021 International Journal of Applied and Computational Mathematics Vol. 7 Issue 3 Article Cited by 1 Quartile

Abstract

The hyperchaotic system is a condition of phenomenal uncertainty in which at least two Lyapunov exponents are present in the system. For the analytical solution of the hyperchaotic Zhou system, the multistage homotopy analysis approach is used in this article. The solution constructs a convergent series in terms of the exponential combination and polynomial functions that use a few terms of this series to obtain higher accuracy. To demonstrate the efficiency of the proposed method, the residual error is presented. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.

Affiliations

Department of Mathematics, Faculty of Natural Science, Universitas Negeri Medan (Unimed), Medan, 20221, North Sumatera, Indonesia; Mathematics Department, Faculty of Science, Yarmouk University, Irbid, 211-63, Jordan