| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632668 | Applied Mathematics and Computation | 2010 | 6 Pages |
Abstract
Given a Hamiltonian system, one can represent it using a symplectic map. This symplectic map is specified by a set of homogeneous polynomials which are uniquely determined by the Hamiltonian. In this paper, we construct an invariant norm in the space of homogeneous polynomials of a given degree. This norm is a function of parameters characterizing the original Hamiltonian system. Such a norm has several potential applications.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Govindan Rangarajan, Shrihari Sridharan,