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

• Main Authors: Chowdhury, M. S. H., Razali, Nur Isnida, Asrar, Waqar, Rahman, M. M.
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/46653/1/The%20multistage%20homotopy%20perturbation%20method%20for%20solving%20chaotic%20and%20hyperchaotic%20lu%20system.pdf; http://psasir.upm.edu.my/id/eprint/46653/; http://www.hindawi.com/journals/aaa/
• Institution: Universiti Putra Malaysia

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.