The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System. (31st August 2015)

• Record Type: Journal Article
• Authors: Chowdhury, M. S. H.; Razali, Nur Isnida; Asrar, Waqar; Rahman, M. M.
• Other Names: Islam Saeed Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-08-31
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/398027
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü systems. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The results show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems.