Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842275 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
In this paper we examine the relation between the energy conserving finite dimensional or low-order models obtained by the application of the Galerkin projection methods to infinite dimensional model, and the class of finite dimensional non-canonical Hamiltonian systems with quadratic Hamiltonian functions and structure matrix whose elements are linear function of the state. We also examine the conditions for the conservation of the phase volume.
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Authors
Yunheng Wang, S. Lakshmivarahan,