The Open Mathematics Journal

2008, 1 : 11-18
Published online 2008 May 14. DOI: 10.2174/1874117400801010011
Publisher ID: TOMATJ-1-11

Numerical Detection of the Lowest “Efficient Dimensions” for Chaotic Fractional Differential Systems

Tongchun Hu and Yihong Wang
Department of Mathematics, Shanghai University, Shanghai 200444, China.

ABSTRACT

In this paper we numerically investigate the dynamical behavior of fractional differential systems. By utilizing the fractional Adams method, we numerically find the smallest “efficient dimensions” of the fractional Lorenz system and R¨ossler system such that they are chaotic. PACS: 05.45.-Ef

Keywords:

Fractional differential equation, efficient dimensions, predictor-corrector.