乐胖代购免代理版

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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,12,15]]},"abstract":"The aim of this paper is to investigate the discrete-time fractional systems from the following aspects. First, the discrete-time fractional unified system in Caputo sense is established with the help of Euler\u2019s discretization method. Furthermore, the dynamic behaviors of the discrete-time fractional L\u00fc system (DFLS) which is deemed as a representative for unified system are observed. Then, the correlation dimension ([Formula: see text]) and Kaplan\u2013Yorke dimension ([Formula: see text]) of the DFLS are evaluated by the aid of Grassberger\u2013Procaccia algorithm and the Lyapunov exponent spectrum, respectively. Finally, the intrinsic connections between [Formula: see text] and [Formula: see text] are analyzed by the statistical modeling idea when the DFLS is in chaotic vibrations. The main results show that [Formula: see text] shares a positive correlation with [Formula: see text] for the chaotic DFLS, while the differences between [Formula: see text] and [Formula: see text] are not only related to the ratio of the largest and smallest Lyapunov exponents, but also closely tied up with the fractional order [Formula: see text] itself.<\/jats:p>","DOI":"10.1142\/s0218127422502224","type":"journal-article","created":{"date-parts":[[2022,12,20]],"date-time":"2022-12-20T07:39:10Z","timestamp":1671521950000},"source":"Crossref","is-referenced-by-count":3,"title":["Comparative Analysis of Correlation and Kaplan\u2013Yorke Dimensions for Discrete-Time Fractional Systems"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-1562-8541","authenticated-orcid":false,"given":"Li","family":"Ma","sequence":"first","affiliation":[{"name":"School of Mathematics, Hefei University of Technology, Hefei 230601, P. R. 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