Sunday, May 18

3:00 PM-5:00 PM Wasatch A & B - Level C

MS9
Nonlinear Oscillators

The purpose of this minisymposium is to review recent advances in the theory of nonlinear oscillators. This will include systems of coupled oscillators as well as oscillators with quasiperiodic forcing. These topics have applications to many areas, including laser design, biological processes involving rhythmical phenomenon, such as locomotion and heartbeat, as well as traditional mechanics applications, for example to forced pendula.The mathematical methods involved in these presentations will include asymptotic analysis as well as numerical simulation. The dynamical phenomena will include periodic, quasiperiodic, and chaotic behavior. The intended audience will include researchers interested in dynamical systems and applications.

Organizer: Richard H. Rand
Cornell University

3:00 Symmetric and Asymmetric Dynamics of Linearly Coupled van der Pol Oscillators

Duane W. Storti, Per G. Reinhall, and David M. Sliger, University of Washington

3:30 New Developments in Forced and Coupled Relaxation Oscillations Immersed-Boundary Method

Mark Levi, Rensselaer Polytechnic Institute

4:00 On the Jump Phenomenon in Coupled Oscillators

Adriaan H. P. van der Burgh and Mark Huiskes, Delft University of Technology, The Netherlands

4:30 Transition Curves in the Quasiperiodic Mathieu Equation

Randolf S. Zounes, Cornell University; and Richard H. Rand, Organizer

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