The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system

• Main Authors: Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Asrar, Waqar, Rahman, Mohammad Mustafizur
• Format: Article
• Language: English; English
• Published: Hindawi Publishing Corporation 2015
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/38614/4/The_Multistage_Homotopy_Perturbation_.pdf; http://irep.iium.edu.my/38614/7/38614_the_multistage_homotopy_scopus.pdf; http://irep.iium.edu.my/38614/; http://www.hindawi.com/journals/aaa/raa/

In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü system. 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