%0 Journal Article
%T Determining Consecutive Periods of the Lorenz Maps
%A Wang Fulai
%J Advances in Difference Equations
%D 2010
%I Springer
%X Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance based on symbolic dynamics is proposed to find all periodic orbits up to a certain number with little computer time. Examples for consecutive periods of orbits are raised for the Lorenz maps. With a little variation, the theorems and algorithm can be applied to some other dynamic systems.
%U http://www.advancesindifferenceequations.com/content/2010/985982