On the spatial Julia set generated by fractional Lotka-Volterra system with noise

• DOI: 10.1016/j.chaos.2019.07.044
• Publication Date: 2019-08-01T04:01:25Z
• Authors: Yupin Wang; Shutang Liu; Hui Li; Da Wang
• Keywords: Julia set

Abstract This paper investigates the structures and properties of the spatial Julia set generated by a fractional complex Lotka-Volterra system with noise. The influence of several types of dynamic noise upon the system’s Julia set is quantitatively analyzed through the Julia deviation index. Then, the symmetry of the Julia set is discussed and the symmetrical structure destruction caused by noise is studied. Numerical simulations are presented to further verify the correctness and effectiveness of the main theoretical results.