The modified algorithm for the differential transform method to solution of Genesio systems

In this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and Padé approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. Results are given with tables and figures.

► In this article, we studied chaotic Genesio system.
► We tried to obtain analytical solution of this system.
► We used the modified differential transform method (MDTM).
► Results showed efficiency of our solution procedure.