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Noisy Fixed Points: Stability of the Invariant Distribution of the Random Logistic Map
Kimberly Ayers, Ami Radunskaya
The full family of discrete logistic maps has been widely studied both as a canonical example of the period-doubling route to chaos, and as a model of natural processes. In this pa…
Long-term Averages of the Stochastic Logistic Map
Maricela Cruz, Austin Wei, Johanna Hardin +1
The logistic map is a nonlinear difference equation well studied in the literature, used to model self-limiting growth in certain populations. It is known that, under certain regul…
Search for Invariant Sets of the Generalized Tent Map
Kimberly Ayers, Dmitry Dmitrishin, Ami Radunskaya +2
This paper describes a predictive control method to search for unstable periodic orbits of the generalized tent map. The invariant set containing periodic orbits is a repelling set…
Do Longer Delays Matter? The Effect of Prolonging Delay in CTL Activation
Angela Gallegos, Ami Radunskaya
The activation of a specific immune response takes place in the lymphoid organs such as the spleen. We present here a simplified model of the proliferation of specific immune cells…