Rangarajan, Govindan ; Sridharan, Shrihari (2010) Invariant norm quantifying nonlinear content of Hamiltonian systems Applied Mathematics and Computation, 217 (6). pp. 2495-2500. ISSN 0096-3003
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.amc.2010.07.060
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Hamiltonian Systems; Symplectic Maps; Invariant Norm |
| ID Code: | 73298 |
| Deposited On: | 03 Dec 2011 06:23 |
| Last Modified: | 03 Dec 2011 06:23 |
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