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On the Relation between Energy-Conserving Low-Order Models and a System of Coupled Generalized Volterra Gyrostats with Nonlinear Feedback
Authors:S Lakshmivarahan  Y Wang
Institution:(1) School of Computer Science, University of Oklahoma, Norman, OK 73072, USA
Abstract:In this paper we first prove the equivalence between the system of coupled Volterra gyrostats and a special class of energy-conserving low-order models. We then extend the definition of the classical Volterra gyrostat to include nonlinear feedback, resulting in a class of generalized Volterra gyrostats. Using this new class of gyrostats as a basic building block, we present an algorithm for converting a general class of energy-conserving low-order models that routinely arise in fluid dynamics, turbulence, and atmospheric sciences into a system of coupled generalized Volterra gyrostats with nonlinear feedback.
Keywords:Low-order models  Galerkin projection  Volterra gyrostats  Nonlinear feed-back
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