Wednesday, August 9

MS7
Perturbation Problems in Nonlinear Oscillations

4:00 PM-6:00 PM
Anthurium & Ginger (Salon 1 & 2)

Nonlinear oscillations arise in many areas of science and engineering. The study of the dynamics often uses a perturbation procedure as a result of external "errors" of modeling and internal changes of dynamical structures. This minisymposium will focus on recent development of perturbation methods in studying the dynamics and bifurcations of nonlinear oscillations. The speakers will cover a broad range of the topic, including theoretical studies of bifurcations of traveling waves in reaction-diffusion systems, a treatment of local linearization, to numerical studies of coupled chaotic oscillators, applications of perturbations in biological models.

4:00-4:25 "Hopf"-Bifurcations from Fronts Caused by the Essential Spectrum

Bjorn Sandstede, Ohio State University, USA

4:30-4:55 Smooth Linearization via the Lie Derivative

Carmen Chicone, University of Missouri, Columbia, USA

5:00-5:25 Unstable Dimension Variability in Coupled Chaotic Systems

David Lerner, University of Kansas, USA; Ying-Cheng Lai, Arizona State University, USA; Kai Williams, University of Kansas, USA; and Celso Grebogi, University of Maryland, College Park, USA

5:30-5:55 Bifurcation Analysis of a Perturbed Epidemic Model

Lih-Ing Wu and Zhilan Feng, Purdue University, West Lafayette, USA