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The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System

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The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System

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dc.contributor.author Eisenfeld, Jerome en
dc.contributor.author Grundy, S. M. en
dc.contributor.author Beltz, W. F. en
dc.date.accessioned 2010-06-03T18:15:40Z en
dc.date.available 2010-06-03T18:15:40Z en
dc.date.issued 1983-11 en
dc.identifier.uri http://hdl.handle.net/10106/2339 en
dc.description.abstract The paper concerns the relationship between the cycles in the graph of a compartmental system and the modes of the impulse response function associated with an input-output experiment. Suppose that there is at least one oscillatory mode, [see pdf for notation]. Let [see pdf for notation] be the slowest mode. The main result is that the system contains a cycle of length three or longer and that the length of the longest cycle is at least [see pdf for notation]. The paper also deals with the problem of estimating cycle length from discrete data. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;207 en
dc.subject Compartmental analysis en
dc.subject Eigenvalues en
dc.subject Linear system of equations en
dc.subject Cycle length en
dc.subject.lcsh Mathematics Research en
dc.title The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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