Joshua R. Craven
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In this project, I use computational tools to study the bifurcations in nonlinear oscillators. Matlab is first used to determine the slow flow phase portrait of each region and the characteristics of each critical point. Next, the parameters are discretized and for each set of values we find the locations of the real critical points and the eigenvalues of the Jacobian matrix. With this knowledge, we can approximate the bifurcation diagram. These results are compared with results from preexisting software.
Primary Advisor's Department
Stander Symposium poster
"Numerical Investigation into a Computational Approximation of Bifurcation Curves" (2012). Stander Symposium Projects. 48.