Published November 2019 | Version v1
Journal article Metadata-only

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

Creators

  • 1. Institute of Marine Science and Technology, Shandong University, Jinan 250100, Shandong, P R (China)
  • 2. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, P R (China)
  • 3. College of Management Science and Engineering, Shandong Normal Universit, Jinan 250061, Shandong, P R (China)

Description

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.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2019.07.044

Additional details

Identifiers

DOI
10.1016/j.chaos.2019.07.044;
PII
S0960077919302966;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
128
Journal Page Range
p. 129-138
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
54120611
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMPUTERIZED SIMULATION; NOISE; SYMMETRY
Descriptors DEC
SIMULATION

Optional Information

Copyright
Copyright (c) 2019 Elsevier Ltd. All rights reserved.