On the Relation between Energy-Conserving Low-Order Models and a System of Coupled Generalized Volterra Gyrostats with Nonlinear Feedback |
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Authors: | S Lakshmivarahan Y Wang |
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Institution: | (1) School of Computer Science, University of Oklahoma, Norman, OK 73072, USA |
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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.
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Keywords: | Low-order models Galerkin projection Volterra gyrostats Nonlinear feed-back |
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