Geometric and Multibody Mechanics: Nonlinear Dynamics and Control

Oberwolfach,* Germany

July 25 - 31, 1999

Organizers:

Jerrold E. Marsden, Caltech
Friedrich Pfeiffer, München
Jurgen Scheurle, München

* In the Black Forest


Description

In the last two decades there has been much progress on the mathematical structures underlying mechanics, such as multibody, robotic and nonholonomic systems, and its applications to engineering problems. The progress has been in the foundational geometric structures, stability and bifurcation theory, computation and visualization. All of these issues are interacting in a very healthy way to produce a rich research output.

This meeting has the aim of allowing workers in the area to exchange ideas and to report on recent advances. We aim for a healthy mix of senior and established researchers, postdoctoral and graduate students. The conference will focus on systems typified by multibody mechanics, but not be limited to this. Elastic and fluid systems, where relevant, will also be considered.

The specific themes of the conference are as follows:

GEOMETRIC AND ANALYTIC FOUNDATIONS: Including systems with symmetry, bifurcation of mechanical systems with symmetry, nonholonomic systems and multibody systems of engineering interest. Variational principles and their applications, geometric phases.

CONTROL THEORY: Locomotion generation, stabilization of mechanical systems, optimal control, tracking. Gyroscopic systems, including navigation systems.

ENERGY-MOMENTUM METHOD: The energy momentum method in the presense of symmetries and singularities, extensions to nonholonomic systems, applications to specific mechanical systems.

MECHANICAL INTEGRATORS: Symplectic-momentum and energy-momentum integrators, integration of constrained systems, stiff systems, long time integrations. Adaptation to control systems.

 

Further information
Mathematisches Forschungsinstitut Oberwolfach