Controlling Switches Between Attractors in a Time-Delayed Dynamical System
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...
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| Format: | Others |
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Scholarship @ Claremont
2019
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| Online Access: | https://scholarship.claremont.edu/cmc_theses/2106 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=3341&context=cmc_theses |
| Summary: | 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. |
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