On fractional difference logistic maps: Dynamic analysis and synchronous control |
| |
Authors: | Wang Yupin Liu Shutang Li Hui |
| |
Affiliation: | 1.Institute of Marine Science and Technology, Shandong University, Qingdao, 266237, Shandong, People’s Republic of China ;2.School of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong, People’s Republic of China ; |
| |
Abstract: | This paper investigates a logistic map derived from a difference equation in the framework of discrete fractional calculus. Through the Poincaré plots and Julia sets, the map’s chaotic and fractal characteristics are studied comparing with those of a quadratic map to be proposed. The memory effect of fractional difference maps is reflected in these dynamics, and some reasonable explanations are given by combining with quantitative analysis. A coupled controller is designed to realize synchronization between fractional difference logistic map and fractional difference quadratic map. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|