@inproceedings{2522e5e921f240cbb0262fcb36f983c7,
title = "An analytical solution for the modified lorenz system",
abstract = "The well known Taylor series method will be presented her to derive series approximation to the solution of the nonlinear dynamical system of ordinary differential equations. The method is applied to the extended Lorenz system and it is found that only few terms of the series approximation is enough to characterize the chaotic properties of the system. The series estimation is good only for a very short period of time. To overcome this problem, the method is extended to longer time by taking smaller time steps and changing the initial conditions at each time step.",
keywords = "Analytic solutions, Chaotic system, Modified lorenz system, Taylor series method",
author = "Allan, {Fathi M.}",
note = "Publisher Copyright: {\textcopyright} 2012 Newswood Limited. All rights reserved.; 2012 World Congress on Engineering, WCE 2012 ; Conference date: 04-07-2012 Through 06-07-2012",
year = "2012",
language = "English",
isbn = "9789881925138",
series = "Lecture Notes in Engineering and Computer Science",
publisher = "Newswood Limited",
pages = "230--233",
editor = "Len Gelman and Andrew Hunter and Korsunsky, {A. M.} and Ao, {S. I.} and Hukins, {David WL}",
booktitle = "Proceedings of the World Congress on Engineering 2012, WCE 2012",
}