Open AccessImplementation of multi-step differentialtransformation method for hyperchaotic Rossler system
Author(s) -
Jafar Biazar,
Tahereh Houlari,
Roxana Asayesh
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v6i1.6875
Subject(s) - transformation (genetics) , mathematics , differential (mechanical device) , control theory (sociology) , work (physics) , algorithm , computer science , control (management) , artificial intelligence , mechanical engineering , biochemistry , chemistry , engineering , gene , aerospace engineering
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.