Paper Title:
Chaotic Dynamics of Fractional-Order Liu System
  Abstract

In this paper, we numerically investigate the chaotic behaviors of a new fractional-order system. We find that chaotic behaviors exist in the fractional-order system with order less than 3. The lowest order we find to have chaos is 2.4 in such system. In addition, we numerically simulate the continuances of the chaotic behaviors in the fractional-order system with orders from 2.7 to 3. Our investigations are validated through numerical simulations.

  Info
Periodical
Edited by
Qi Luo
Pages
1327-1331
DOI
10.4028/www.scientific.net/AMM.55-57.1327
Citation
X. Gao, "Chaotic Dynamics of Fractional-Order Liu System", Applied Mechanics and Materials, Vols. 55-57, pp. 1327-1331, 2011
Online since
May 2011
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