The Open Mathematics Journal




    (Discontinued)

    ISSN: 1874-1177 ― Volume 8, 2015

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


    The Open Mathematics Journal , 2008, 1: 11-18

    Tongchun Hu, Yihong Wang

    Department 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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