Application of the multistage homotopy-perturbation method to solve a class of hyperchaotic systems

Yongguang Yu and Han-Xiong Li

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2330-2337

Abstract: 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.

Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077909002628
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:2330-2337

DOI: 10.1016/j.chaos.2009.03.154

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().