Logistic map and bifurcation diagram

This toolbox includes codes and the example of logistic map and bifurcation diagram.

% This toolbox includes codes and the example of logistic map. Logistic growth assumes that the growth rate is not constant but proportional to the remaining capacity, and describes the behavior of a population that has limited resources (food, water, space). Bifurcation Diagram depicts possible long-term values of a system as a function of a bifurcation parameter in the system. A small difference in the value of r or x0 can make a hugedifference in the outcome of the system at time t. No formula can tell us what x will be at some specified time t even if we know the initial conditions.

%Author: Dr. Hui Yang

%Affiliation:

%The Pennsylvania State University

%310 Leohard Building, University Park, PA

%Email: [e-mail]

% If you find this toolbox useful, please cite the following paper:

% [1] Yang, H* (2023). “Mining Nonlinear Dynamics in Operational Data

% for Process Improvement”, INFORMS TutORials in Operations Research,

% 1-24. DOI: 10.1287/educ.2023.0261