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This paper applies the multistage homotopy-perturbation method (MHPM) to the Lii system, which bridges the gap between the Lorenz system and the Chen system. Approximate closed-form expressions of the chaotic attractor are derived. Numerical comparison between the MPHM and the fourth-order Runge-Kutta method is carried out, revealing that the method is a powerful tool for analyzing and understanding chaos. [ABSTRACT FROM AUTHOR]