Abstract
The aim of this paper is to investigate the accuracy of the differential transformation method (DTM) for solving the hyperchaotic: Rossler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the DTM solutions and the fourth-order Runge-Kutta (RK4) solutions are made. The DTM scheme obtained from the DTM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate. (c) 2008 Elsevier B.V. All rights reserved.