Title
Invariant norm quantifying nonlinear content of Hamiltonian systems
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.
Year
DOI
Venue
2010
10.1016/j.amc.2010.07.060
Applied Mathematics and Computation
Keywords
Field
DocType
Hamiltonian systems,Symplectic maps,Invariant norm
Covariant Hamiltonian field theory,Superintegrable Hamiltonian system,Mathematical analysis,Moment map,Hamiltonian system,Hamiltonian path problem,Symplectomorphism,Invariant (mathematics),Mathematics,Dual norm
Journal
Volume
Issue
ISSN
217
6
0096-3003
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Govindan Rangarajan111111.23
Shrihari Sridharan200.34