MS29 ~ Monday, May 22, 1995 ~ 7:30 PM

Dynamics in Resonant Systems

Resonances are well known to cause complex or irregular behavior in dynamical systems. Frequently, motions near resonant domains of the phase space admit different time scales. This makes their study more complicated and necessitates the use of both regular and singular perturbation techniques. In other cases, a regular perturbation approach is sufficient but requires new constructions. The speakers will survey some of the recent developments in the study of resonances in lower and in higher dimensional systems. They will also present applications from rigid body dynamics and molecular dynamics.

Organizer: George Haller, Brown University

Resonant Periodic Orbits in Singular Perturbation Problems
Tasso Kaper, Boston University
Homoclinic Orbits in the Dynamics of Resonantly Driven Coupled Pendula
Gregor Kovacic and Thomas A. Wettergren, Rensselaer Polytechnic Institute
Stochastic Behavior in Resonant Hamiltonians with Saddle- Center Equilibria
Clodoaldo Grotta Ragazzo, Courant Institute of Mathematical Sciences, New York University and Universidade de Sao Paulo, Brazil
Diffusion through Resonance
George Haller, Organizer