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P4: Simulation of coupled nonlinear time-delayed feedback loops using state-space representation
Author: Karl Schmitt , Advisors: James Yorke (Mathematics & IPST), Rajarshi Roy (Physics & IPST), Thomas Murphy> (ECE)
Problem Statement Presentation
Project Proposal
Abstract
Simulation of accurate models for experimental systems is vital to determining future research and validating existing research. I will implement a model for a system of coupled nonlinear time-delayed feedback loops. The model for each independent loop will be a state-space representation of the loop in Kouomuo [ref] and will be tested against published results for identical systems. Coupling schemes will be initially tested on well known and previously explored systems such as the Lorenz model [ref]. The final implementation will be tested against published experimental data for such a system [ref]. This will be then used to predict synchronization behavior for previously unexplored system parameters t and f as it relates to the coupling strength. Time permitting, the time required to achieve synchronization and its’ dependence on system parameters will be explored.
MidYear Progress Report and
Presentation
Final Presentation ,
Final Report
