DocumentCode
574324
Title
Complex dynamics and chaos in a scalar linear continuous system with impulsive feedback
Author
Zhusubaliyev, Zhanybai T. ; Churilov, Alexander N. ; Medvedev, Alexander
Author_Institution
Dept. of Comput. Sci., South West State Univ., Kursk, Russia
fYear
2012
fDate
27-29 June 2012
Firstpage
2419
Lastpage
2424
Abstract
This paper deals with a hybrid system comprised of scalar continuous dynamics and a pulse-modulated feedback that represents a simplified version of a model earlier proposed for describing the mechanism of pulsatile hormone regulation in endocrinology. It is shown that even in this drastically reduced form, the system demonstrates a wide range of complex behaviors, including chaotic dynamics.
Keywords
biology; chaos; continuous systems; feedback; large-scale systems; linear systems; chaos; chaotic dynamics; complex dynamics; endocrinology; hybrid system; impulsive feedback; pulsatile hormone regulation; pulse-modulated feedback; scalar continuous dynamics; scalar linear continuous system; Analytical models; Bifurcation; Biochemistry; Chaos; Mathematical model; Orbits;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2012
Conference_Location
Montreal, QC
ISSN
0743-1619
Print_ISBN
978-1-4577-1095-7
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2012.6314909
Filename
6314909
Link To Document