2020 Atlanta USA

Geometric Mechanics, Dynamics and Control

 Organizer(s):
Name:
Affiliation:
Country:
Leonardo Colombo
Institute of Mathematical Sciences (ICMAT),Spanish National Research Council (CSIC)
Spain
Manuel de León
Institute of Mathematical Sciences (ICMAT),Spanish National Research Council (CSIC), Real Academia de Ciencias, Real Academia Canaria de Ciencias
Spain
Tomoki Ohsawa
University of Texas at Dallas
USA
 Abstract:  
  Mathematical modeling of dynamical systems plays an important role in many branches of science. Since the second half of the last century, differential geometry has developed into a mathematical discipline with an ever-growing impact on the construction of such models. In particular, ``geometric mechanics” has become the common name that is given to those research activities that are devoted to the application of differential geometry in various fields such as classical mechanics (Newtonian, Lagrangian and Hamiltonian mechanics), dynamical systems, control theory and continuum mechanics. Using the powerful tools and techniques of Riemann geometry, contact geometry, symplectic and Poisson geometry, and exploiting the properties of Lie groups, fiber bundles, connections, distributions, etc., geometric mechanics has contributed a lot to the description and analysis of the structure and properties of mechanical systems, impacting in many fields for engineering applications, theoretical physics, fluids dynamics and material sciences. This special session has a double goal: celebrate the 65th birthday of one of the researchers which enormously contributed to the advance of Geometric Mechanics, Dynamical Systems and Control community, Prof. Anthony Bloch; and to promote the AIMS Journal of Geometric Mechanics by the development of a special volume in honor to Prof. Bloch.

List of approved abstract