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.
"The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System." Abstr. Appl. Anal. 2015 (SI10) 1 - 17, 2015. https://doi.org/10.1155/2015/398027