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

Shirisha Alle

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.

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