Homotopy approach for the hyperchaotic Chen system

被引：19

作者：

Alomari, A. K. ^{[1
]}

Noorani, M. S. M. ^{[2
]}

Nazar, R. ^{[2
]}

机构：

[1] Jerash Private Univ, Fac Nursing & Sci, Dept Sci, Jerash 26150, Jordan

[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia

来源：

PHYSICA SCRIPTA | 2010年 / 81卷 / 04期

关键词：

EQUATION; SYNCHRONIZATION; SOLVE;

D O I：

10.1088/0031-8949/81/04/045005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：7

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