Title
On the noise-perturbed spatial Julia set generated by Lorenz system
Abstract
•This paper extends the study of noise-perturbed planar Julia sets to the spatial case by investigating the structural damages and symmetry changes of the noise-perturbed Julia sets of a complex Lorenz system.•This paper proposes a measure to prove the symmetry property of spatial Julia sets generated from the general complex system with two variables.•A Symmetry Criterion method is proposed to quantify the effect of noise on the symmetry of spatial Julia sets.
Year
DOI
Venue
2017
10.1016/j.cnsns.2017.03.001
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Spatial Julia set,Lorenz system,Noise-perturbed Julia set,Symmetry
Journal
50
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
10
2
Name
Order
Citations
PageRank
Da Wang170.75
Xiyu Liu200.68