4.4 Article

Chaos in the fractional-order Lorenz system

Journal

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 86, Issue 7, Pages 1274-1282

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160701864426

Keywords

fractional order; Lorenz system; chaos

Funding

  1. National Natural Science Foundation of China [60573172]
  2. National High Technology Research and Development Program of China [2007AA012478]

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In this article, we investigate the chaotic behaviours in the fractional-order Lorenz system. By utilizing the fractional calculus techniques, we found that chaos exists in the fractional-order Lorenz system of order less than 3. The lowest order we found to have chaos in this system is 2.97.

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