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The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system. (English) Zbl 1433.34024

Summary: 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.

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
65L99 Numerical methods for ordinary differential equations
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