Graduation Year
2019
Date of Submission
4-2019
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Biophysics
Reader 1
John Milton
Reader 2
James Higdon
Abstract
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.
Recommended Citation
Tate, Jackson, "Controlling Switches Between Attractors in a Time-Delayed Dynamical System" (2019). CMC Senior Theses. 2106.
https://scholarship.claremont.edu/cmc_theses/2106
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
