Document Type
Report
Source Publication Title
Technical Report 207
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.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
11-1-1983
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Eisenfeld, Jerome; Grundy, S. M.; and Beltz, W. F., "The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System" (1983). Mathematics Technical Papers. 137.
https://mavmatrix.uta.edu/math_technicalpapers/137