Joint Mathematics Meetings Program by Special Session
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Program 
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Inquiries: meet@ams.org
1999 Joint Mathematics Meetings
San Antonio, TX, January 1316, 1999
Meeting #939
Associate secretaries:
Susan J Friedlander, AMS susan@math.northwestern.edu
James J Tattersall, MAA tat@providence.edu
AMS Special Session on Hamiltonian Mechanics: Applications to Celestial Mechanics and Chemistry

Wednesday January 13, 1999, 8:30 a.m.10:50 a.m.
AMS Special Session on Hamiltonian Mechanics: Applications to Celestial Mechanics and Chemistry, I
Organizers:
Michael K. Rudnev, The University of Texas at Austin mru@math.utexas.edu
Stephen R. Wiggins, California Institute of Technology wiggins@cds.caltech.edu

8:30 a.m.
Bifurcation and cantorus analysis of quantizing structures in molecular spectra.
Michael E. Kellman*, University of Oregon
(939701147)

9:00 a.m.
Two examples of the appearence of complex trajectories in semiclassical estimates.
Alejandro Uribe*, University of Michigan
(939811168)

9:30 a.m.
A Global Analysis of the Bifurcations of Periodic Orbits with the Hénon Map as an Example.
Charles Jaffé*, West Virginia Univesity
Masa Tsuchiya, Cornell Uiversity
(939701162)

10:00 a.m.
Periodic orbit analysis of quantum spectra of atoms and molecules.
Gregory S Ezra*, Cornell University
(93981266)

10:30 a.m.
Two conjectures of G. D. Birkhoff.
Kenneth R Meyer*, University of Cincinnati
(93934385)

Wednesday January 13, 1999, 2:15 p.m.5:05 p.m.
AMS Special Session on Hamiltonian Mechanics: Applications to Celestial Mechanics and Chemistry, II
Organizers:
Michael K. Rudnev, The University of Texas at Austin mru@math.utexas.edu
Stephen R. Wiggins, California Institute of Technology wiggins@cds.caltech.edu

2:15 p.m.
Ergodic properties of particle systems .
Marek R Rychlik*, University of Arizona
Maciej P Wojtkowski, University of Arizona
(939701045)

2:45 p.m.
Scar Formation and the Transition from Order to Chaos in the Vibrations of Molecular Systems.
Florentino Borondo*, Universidad Autonoma de Madrid, Spain
Francisco J. Arranz, Universidad Autonoma de Madrid, Spain
Rosa M. Benito, Universidad Politecnica de Madrid, Spain
(939811010)

3:15 p.m.
On Nontwist Hamiltonian Flows and Symplectic Maps of the Plane.
Philip J Morrison*, The University of Texas at Austin
(93970997)

3:45 p.m.
Threedimensional, volumepreserving flows and maps.
Igor Mezic*, University of California, Santa Barbara
(93976934)

4:15 p.m.
Horseshoes near Normally Hyperbolic Invariant Manifolds .
Richard B. Moeckel*, University of Minnesota
(93970886)

4:45 p.m.
Double resonances in four dimensional symplectic maps.
Arturo Olvera*, IIMAS, UNAM
(93958883)

Thursday January 14, 1999, 8:30 a.m.11:20 a.m.
AMS Special Session on Hamiltonian Mechanics: Applications to Celestial Mechanics and Chemistry, III
Organizers:
Michael K. Rudnev, The University of Texas at Austin mru@math.utexas.edu
Stephen R. Wiggins, California Institute of Technology wiggins@cds.caltech.edu

8:30 a.m.
Geometric approaches to lowdimensional manifolds in chemical systems approaching equilibrium.
Michael J. Davis*, Chemistry Division, Argonne National Laboratory
Rex T Skodje, University of Colorado
(93970852)

9:00 a.m.
Altering the course of Hamiltonian dynamics.
Herschel Rabitz*, Princeton University
(93949847)

9:30 a.m.
Molecular gyroscopes: Model studies of torsionrotation interaction in molecules.
John H. Frederick*, University of Nevada
James T. Vivian, University of California, Davis
(93970630)

10:00 a.m.
Simultaneous Binary Collision Singularities.
Mohamed S. ElBialy*, University of Toledo
(93970626)

10:30 a.m.
Geometric structures and diffusions.
Rafael de la Llave*, University of Texas
(93934602)

11:00 a.m.
The anisotropic Manev problem.
Florin Diacu*, University of Victoria
(93970607)

Thursday January 14, 1999, 2:15 p.m.4:05 p.m.
AMS Special Session on Hamiltonian Mechanics: Applications to Celestial Mechanics and Chemistry, IV
Organizers:
Michael K. Rudnev, The University of Texas at Austin mru@math.utexas.edu
Stephen R. Wiggins, California Institute of Technology wiggins@cds.caltech.edu

2:15 p.m.
Quantum propagation on classically invariant structures.
Wolfgang Schweizer*, Theoretical Astrophysics, Tuebingen
Wilfried Jans, Theoretical Astrophysics, Tuebingen
Turgay Uzer, Georgia Institute of Technology
(93981576)

2:45 p.m.
Some Recent Results in Multiphase Averaging Theory for ODEs.
H. Scott Dumas*, University of Cincinnati
(939341125)

3:15 p.m.
On the problem of estimating the entropy of the Chirikov Standard map .
Oliver R Knill*, University of Texas
(939581154)

3:45 p.m.
Rydberg atoms in crossed external fields: Order, chaos, and nondispersive wavepackets.
Turgay Uzer*, Georgia Institute of Technology
David Farrelly, Utah State University
Jan von Milczewski, Georgia Institute of Technology
(9397099)
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