Title:
How many variables? Some comments on the dimensionality of nonlinear systems

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dc.contributor.author Voit, Eberhard O. en_US
dc.date.accessioned 2011-11-28T18:33:59Z
dc.date.available 2011-11-28T18:33:59Z
dc.date.issued 1992-08
dc.description © 1995 by Walter de Gruyter & Co. en_US
dc.description.abstract While at first glance seemingly obvious, the number of variables in a model is not a priori fixed. For mathematical purposes, it is oftentimes convenient to reduce the number of variables to a minimum, but such reduction sometimes obscures meaning and insight and is not always computationally optimal. This is demonstrated with a special class of nonlinear differential equations, called S-systems, whose specific mathematical structure makes reduction as well as expansion of models translucent. The reduction shown here is based on the determination of Lie groups of scaling transformations, while the expansion is based on equivalent recasting. The Lie reduction constitutes the inverse operation to the recasting of multinomial systems. en_US
dc.identifier.citation Voit, Eberhard O., “How many variables? Some comments on the dimensionality of nonlinear systems,” Proceedings of the World Congress of Nonlinear Analysts, Tampa, FL, 1992; Walter de Gruyter & Co., Berlin, New York, 1996, 3369-3379. en_US
dc.identifier.isbn 3-11-013215-X
dc.identifier.uri http://hdl.handle.net/1853/42010
dc.language.iso en_US en_US
dc.publisher Georgia Institute of Technology en_US
dc.publisher.original Walter de Gruyter en_US
dc.subject Variables en_US
dc.subject Mathematical transformation en_US
dc.subject Mathematical models en_US
dc.subject Nonlinear differential equations en_US
dc.subject S-systems en_US
dc.title How many variables? Some comments on the dimensionality of nonlinear systems en_US
dc.type Text
dc.type.genre Proceedings
dspace.entity.type Publication
local.contributor.author Voit, Eberhard O.
local.contributor.corporatename Wallace H. Coulter Department of Biomedical Engineering
local.contributor.corporatename College of Engineering
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relation.isOrgUnitOfPublication da59be3c-3d0a-41da-91b9-ebe2ecc83b66
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
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