Vol.10, No 1, 2011 pp. 29 - 36
UDC
681.5.01 517.93
ON A JERK DYNAMICAL SYSTEM II
Sonja Gegovska-Zajkova1, Ljubiša M. Kocic2
1University Ss Cyril and Methodius, Faculty of Electrical Engineering and Information Technologies, Skopje, Macedonia, E-mail: szajkova@feit.ukim.edu.mk
2University of Nis, Faculty of Electronic Engineering, Nis, Serbia,
E-Mail: ljubisa.kocic@elfak.ni.ac.rs
Abstract.
Chaotic systems of J.C. Sprott [11-16] based on electric circuits turn to be attractive examples of week chaos, a form of chaos that eventually might occur in such sensible applications like automatic control or robotics. This note contains some further considerations concerning some modifications of a 3D dynamic flow, known as jerk dynamical system of J.C. Sprott [15]. More specifically, the type of equilibrium point is analyzed and the Poincaré maps and bifurcation diagrams are constructed.
Key Words:
jerk dynamics, chaos, spiral saddle, Poincaré map, bifurcation.
O JEDNOM “JERK” DINAMIČKOM SISTEMU II
Haotični sistemi koje je najpre u obliku elektronskih kola uveo J.C. Sprott [11-16] pokazali su se kao zanimljivi primeri izvora slabog haosa – oblika haosa koji je jedino dozvoljen u osetljivim sistemima kao što su sistemi automatske kontrole i robotike. Ovaj rad je nastavak istraživanja jedne modifikacije 3D dinamičkog toka, koji je poznat kao jerk-dinamički sistem J.C. Sprott-a [15]. Konkretno, analiziran je tip tačke ekvilibrijuma, Poincaré-ovi preseci kao i bifurkacioni dijagrami.
Ključne reči:
“jerk”dinamoka, haos, spiralno sedlo, Poincaré-ov presek, bifurkacija
