Numerical Detection of the Lowest “Efficient Dimensions” for Chaotic Fractional Differential Systems
The Open Mathematics Journal ,
2008, 1: 11-18
Tongchun Hu, Yihong WangDepartment of Mathematics, Shanghai University, Shanghai 200444, China.
Electronic publication date 14/5/2008
[
DOI: 10.2174/1874117400801010011]
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
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