Abstract :
Due to the complex dynamical behaviors of hyperchaotic system, it is very difficult to gain
its valid analytical solution by using many existing methods. In this paper, the multistage
homotopy-perturbation method is first employed to solve a class of hyperchaotic systems.
The method is only a simple modification of the standard homotopy-perturbation method,
in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for
finding accurate approximate solutions to the corresponding hyperchaotic systems. Finally,
some numerical comparisons among the multistage homotopy-perturbation method, the
standard homotopy-perturbation method and the Runge–Kutta method have been made,
which manifest that the modified method is a very accurate and effective algorithm to
solve the hyperchaotic systems.
