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
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;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6314909
