Abstract | ||
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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 |
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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 Rangarajan | 1 | 111 | 11.23 |
Shrihari Sridharan | 2 | 0 | 0.34 |