Discrete fractional logistic map and its chaos

A discrete fractional logistic map is proposed in the left Caputo discrete delta’s sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated.

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2014, Vol.75 (1-2), p.283-287
Main Authors: Wu, Guo-Cheng, Baleanu, Dumitru
Format: Article
Language:English
Subjects:
Automotive Engineering
Bifurcations
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A discrete fractional logistic map is proposed in the left Caputo discrete delta’s sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-1065-7