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  • 标题:The influence of the Lorenz system fractionality on its recurrensivity
  • 本地全文:下载
  • 作者:Magdalena Gregorczyk ; Andrzej Rysak
  • 期刊名称:MATEC Web of Conferences
  • 电子版ISSN:2261-236X
  • 出版年度:2019
  • 卷号:252
  • DOI:10.1051/matecconf/201925202006
  • 语种:English
  • 出版社:EDP Sciences
  • 摘要:In this work, we investigate the recurrensivity of the Lorenz system with fractional order of derivatives occurring in its all three differential equations. Several solutions of the system for varying fractional orders of individual derivatives were calculated, which was followed by an analysis of changes in the selected recurrence quantifiers occurring due to modifications of the fractional orders {q1, q2, q3}. The results of the recurrence analysis were referred to the time series plots, phase diagrams and FFT spectra. The obtained results were finally used to examine the influence of fractional derivatives on the chaos - periodicity transition of the system dynamics.
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