DocumentCode :
1186763
Title :
On nonapproach to equilibrium in compartmental systems
Author :
Eisenfeld, J.
Volume :
29
Issue :
3
fYear :
1982
fDate :
3/1/1982 12:00:00 AM
Firstpage :
196
Lastpage :
198
Abstract :
The question of convergence of a solution of a compartmental system to an equilibrium point, as 
, is of considerable interest [1]-[6]. Although it was not explicitly stated, the remarks in [1] seem to suggest that in the case of closed systems, of the type specified below, every solution approaches an equilibrium point. These remarks prompted the construction of counter examples, to be presented below, to show that a closed compartmental system may admit periodic solutions as well as aperiodic solutions that do not approach a constant vector.
, is of considerable interest [1]-[6]. Although it was not explicitly stated, the remarks in [1] seem to suggest that in the case of closed systems, of the type specified below, every solution approaches an equilibrium point. These remarks prompted the construction of counter examples, to be presented below, to show that a closed compartmental system may admit periodic solutions as well as aperiodic solutions that do not approach a constant vector.Keywords :
Nonlinear systems; Stability; Counting circuits; Decoding; Differential equations; Low pass filters; Mathematics; Phase change materials; Transfer functions; Transmitters;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1982.1085122
Filename :
1085122
Link To Document :
