2 p.m. - 3 p.m. Location: FN 2.102
Professor Mark Levi
Department of Mathematics
Penn State University
Traveling waves in chains of pendula
On the one hand, chains of coupled pendula arise as models in many settings (the Frenkel-Kontorova model of an atomic lattice, dislocations in crystals, charge density waves, dry friction, Josephson junctions). On the other hand, these chains exhibit fascinating dynamics, and are very rich from the mathematical point of view as they exhibit virtually all phenomena known in the field of dynamical systems including KAM behavior, Arnold diffusion, chaos, traveling waves, and, in a continuous limit, complete integrability. In this talk I will describe a sampling of interesting dynamics, some of which is unexpected, beginning with some background and ending with some recent results.
Refreshments will be served in the FN 2.102 30 minutes prior to the talk
Sponsored by the Department of Mathematical Sciences
John Zweck, 972-883-6699
Questions? Email me.