Logistic map and bifurcation diagram
This toolbox includes codes and the example of logistic map and bifurcation diagram.
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% 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: yanghui@gmail.com
% 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
Cite As
Hui Yang (2026). Logistic map and bifurcation diagram (https://www.mathworks.com/matlabcentral/fileexchange/135932-logistic-map-and-bifurcation-diagram), MATLAB Central File Exchange. Retrieved .
Yang, Hui. “Mining Nonlinear Dynamics in Operational Data for Process Improvement.” Tutorials in Operations Research: Advancing the Frontiers of OR/MS: From Methodologies to Applications, INFORMS, 2023, pp. 109–32, doi:10.1287/educ.2023.0261.
Acknowledgements
Inspired by: Recurrence plot and recurrence quantification analysis
General Information
- Version 1.0.1 (2.44 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
