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Noise, Chaos, and the Verhulst Population Model

thesis
posted on 09.12.2016, 00:00 by Laurel J. Leonhardt
The history of Verhulst's logistic equation is discussed. Bifurcation diagrams and the importance of the discrete logistic equation in chaos theory are introduced. The results of adding noise to the discrete logistic equation are computed. Surprising linearity is discovered in the relationship between error bounds placed on the period two region and the amount of noise added to the system.

History

Advisor

Shive, Peter

ISO

eng

Language

English

Publisher

University of Wyoming. Libraries

Collection

Honors Theses AY 16/17