Implementation of multi-step differentialtransformation 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.

Text Encryption Method Using multi Hyper-chaotic systems

“…Recently, hyper-chaotic systems attract more attention in wide applications like nonlinear circuits, cryptography, secure communications, and synchronization [13], in cryptography utilized of hyper-chaotic systems lead to desirable cryptography characteristics such as high randomness, unpredictability, high capacity, more security and efficiency [9], proposed encryption method utilized the chaotic sequence generated from different hyper-chaotic systems to encrypt message text, Rossler hyper-chaotic system which can be described as [3] :…”