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Start Over Topic algorithms Topic chaos theory Topic stochastic convergence Publication Type Periodicals Journal communications in nonlinear science & numerical simulation
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1. Application of the differential transformation method for the solution of the hyperchaotic Rössler system

Author

Al-Sawalha, M. Mossa and Noorani, M.S.M.

Subjects
*MATHEMATICAL transformations, *DIFFERENTIAL equations, *CHAOS theory, *RUNGE-Kutta formulas, *ALGORITHMS, *STOCHASTIC convergence
Abstract

Abstract: The aim of this paper is to investigate the accuracy of the differential transformation method (DTM) for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the DTM solutions and the fourth-order Runge–Kutta (RK4) solutions are made. The DTM scheme obtained from the DTM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate. [Copyright &y& Elsevier]

Published
2009
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