TY - JOUR
T1 - Application of the multistage homotopy-perturbation method to solve a class of hyperchaotic systems
AU - Yu, Yongguang
AU - Li, Han-Xiong
PY - 2009/11/30
Y1 - 2009/11/30
N2 - Due to the complex dynamical behaviors of hyperchaotic system, it is very difficult to gain its valid analytical solution by using many existing methods. In this paper, the multistage homotopy-perturbation method is first employed to solve a class of hyperchaotic systems. The method is only a simple modification of the standard homotopy-perturbation method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding hyperchaotic systems. Finally, some numerical comparisons among the multistage homotopy-perturbation method, the standard homotopy-perturbation method and the Runge-Kutta method have been made, which manifest that the modified method is a very accurate and effective algorithm to solve the hyperchaotic systems. © 2009 Elsevier Ltd. All rights reserved.
AB - Due to the complex dynamical behaviors of hyperchaotic system, it is very difficult to gain its valid analytical solution by using many existing methods. In this paper, the multistage homotopy-perturbation method is first employed to solve a class of hyperchaotic systems. The method is only a simple modification of the standard homotopy-perturbation method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding hyperchaotic systems. Finally, some numerical comparisons among the multistage homotopy-perturbation method, the standard homotopy-perturbation method and the Runge-Kutta method have been made, which manifest that the modified method is a very accurate and effective algorithm to solve the hyperchaotic systems. © 2009 Elsevier Ltd. All rights reserved.
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U2 - 10.1016/j.chaos.2009.03.154
DO - 10.1016/j.chaos.2009.03.154
M3 - RGC 21 - Publication in refereed journal
SN - 0960-0779
VL - 42
SP - 2330
EP - 2337
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 4
ER -