Implementation of multi-step differential transformation method for hyperchaotic Rossler system

Abstract

- In this work, the multi-step differential transformation method (MSDTM) is applied to approximate a solution of the hyperchaotic Rossler system. MSDTM is adapted from the differential transformation method (DTM). In this method, DTM is implemented in each subinterval. Results are compared with a fourth-order Runge Kutta method and a standard DTM. The results show that the MSDTM is an efficient and powerful technique for solving hyperchaotic Rossler systems and this method is more accurate than DTM.

Keywords: Hyperchaotic Rossler system; Differential transformation method; Forth-order Runge Kutta method; Multi-step differential transformation method.