Date of Submission
Campus Only Senior Thesis
Bachelor of Arts
The purpose of this study is to show the feasibility of controlling state transitions between attractors in a time-delayed dynamical system. Current control methods for multistable systems do not account for the time-delay for signal transmission. Our method involves momentarily turning feedback off and introducing a new initial condition before turning feedback on again. We have shown that this method is feasible by applying it to a model with known solutions. This control method can be used in many ways, but its most promising application is in the form of electroceuticals that can be used to treat and control dynamic diseases, such as epilepsy.
Tate, Jackson, "Controlling Switches Between Attractors in a Time-Delayed Dynamical System" (2019). CMC Senior Theses. 2106.
Available for download on Monday, May 10, 2021
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.