文章基本信息

标题：Recurrence analysis of fractional-order Lorenz system
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作者：Andrzej Rysak ; Magdalena Gregorczyk
期刊名称：MATEC Web of Conferences
电子版ISSN：2261-236X
出版年度：2018
卷号：211
DOI：10.1051/matecconf/201821103008
语种：English
出版社：EDP Sciences
摘要：The fractional derivative is increasingly used in modeling of nonlinear systems. Fractional-order systems often give better fit to the experimental results, especially for the systems in which memory effects or hysteresis play a significant role. The paper presents numerical results obtained for Lorenz dynamical system, described by equations with the fractional derivative components. The impact of the fractional derivative terms on the system dynamics and stability is analyzed by using phase diagrams and recurrence plot analysis.