CRM Program: Stability and Instability in Mechanical Systems (SIMS08)

Period

        September 1 to December 31, 2008

amadeu delshams, Universitat Politècnica de Catalunya

rafael de la llave, University of Texas at Austin

tere m. seara, Universitat Politècnica de Catalunya

chong-qing cheng, University of Nanjing
vadim kaloshin, University of Maryland and Penn State University
carles simó, Universitat de Barcelona
turgay uzer, Georgia Institute of Technology
 

gerard gómez, Universitat de Barcelona
àngel jorba, Universitat de Barcelona
jaume llibre, Universitat Autònoma de Barcelona
josep masdemont, Universitat Politècnica de Catalunya
 

There are many systems that appear in applications that have negligible friction, like the models of celestial mechanics and Astrodynamics, the models for  motion of charged particles in magnetic fields (for example the motion on the magnetosphere, particle accelerators, some models in collisionless plasmas), chemical reactions, etc.

One problem that has attracted attention for a long time is whether the effect of perturbations on these models accumulate over time and lead to large effect (instability) or whether  these effects average out (stability).

The aim of the program "Stability and instability in Mechanical Systems" is to compare and unify the different methods (geometrical, variational, heuristic, numerical, experimantal, etc.) for stability and instability and to make contact with recent applications.

Expected Conferences and Courses:

Advanced Course on Stability and Instability in Mechanical Systems. September 15 to 19, 2008.

Conference on Stability and Instability in Mechanical Systems: Recent progress and mathematical theory. September 22 to 26, 2008.

Workshop on Stability and Instability in Mechanical Systems: Applications and Numerical Tools. December 1 to 5, 2008.