Name
Abstract | ||
|---|---|---|
This paper preliminary examines a kind of Mandelbrot set generated by a fractional differ-ence quadratic map involving Caputo-like fractional h-difference operators. A connectivity index is proposed based on numerical methods, which avoids difficulties in discussion at the topological level. The dynamics of those sets in two kinds of noise environments are considered involving connectivity, symmetry and dimension. Several typical cases are vi-sualized to illustrate the main conclusions.(c) 2022 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.amc.2022.127353 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | DocType | Volume |
Fractal, Quadraticmap, Discretefractionalcalculus, Connectivity, Disturbance | Journal | 432 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yupin Wang | 1 | 0 | 0.34 |
| Xiaodi Li | 2 | 854 | 53.20 |
| Da Wang | 3 | 0 | 0.34 |
| Shutang Liu | 4 | 51 | 11.49 |