Dynamics by the Dozen
April 24, 2012 - 11:00am
Nonlinear dynamics has the feature that it is conceptually and mathematically challenging and yet ubiquitous in its applications. Indeed, one of the appeals of the subject is the universality of some of its frameworks and results. We are attempting to take advantage of such wide applicability in order to involve an unusual range of participants in nonlinear dynamics research. This range spans from postdoctoral to K-12 students as well as teachers.
The talk will report on several projects in various depths, including Hamiltonian chaos in optical propagation, bifurcations in circadian rhythms in plants, nonlinear interaction of actuator systems, vascular dynamics, neural systems modeling, and fluid instabilities. A key arena in which novices can participate effectively is in the search for applications. A particular applied area where we are focusing is biomedicine.