An analytical solution for the modified lorenz system

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)


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.

Original languageEnglish
Title of host publicationProceedings of the World Congress on Engineering 2012, WCE 2012
EditorsLen Gelman, Andrew Hunter, A. M. Korsunsky, S. I. Ao, David WL Hukins
PublisherNewswood Limited
Number of pages4
ISBN (Print)9789881925138
Publication statusPublished - 2012
Event2012 World Congress on Engineering, WCE 2012 - London, United Kingdom
Duration: Jul 4 2012Jul 6 2012

Publication series

NameLecture Notes in Engineering and Computer Science
ISSN (Print)2078-0958


Conference2012 World Congress on Engineering, WCE 2012
Country/TerritoryUnited Kingdom


  • Analytic solutions
  • Chaotic system
  • Modified lorenz system
  • Taylor series method

ASJC Scopus subject areas

  • Computer Science (miscellaneous)


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