Local Normal Forms of Hamiltonian Systems with One-Sided Constraints

ByEdmilson Santos

Local Normal Forms of Hamiltonian Systems with One-Sided Constraints

Konstantinos Kourliouros

Abstract:

In this talk I will present local classification results for all typical singularities of Hamiltonian systems with one-sided constraints, e.g. a boundary or an obstacle lifted from the configuration space of the system to its phase space. In particular I will show how to obtain exact normal forms with functional moduli, and how to give a canonical -geometric- description of these moduli in terms of discriminant functions in the space of all solutions of the corresponding Hamiltonian system.

About the author

Edmilson Santos administrator