Dynamics and Bifurcation for One Non-linear System
Journal Title: SCIENCE, ENGINEERING AND TECHNOLOGY - Year 2023, Vol 3, Issue 1
Abstract
In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system. We describe the bifurcation that appears, which is characteristic of higher-dimensional systems, that is when a fixed point loses its stability without colliding with other points. Although it is difficult to determine the whole series of bifurcations that lead to chaos, we can say that it is a common opinion that it is precisely the Hopf bifurcation that leads to chaos when it comes to situations that occur in applications. Here, subcritical and supercritical bifurcation occurs, and we can say that subcritical bifurcation represents a much more dramatic situation and is potentially more dangerous than supercritical bifurcation, technically speaking. Namely, bifurcations or trajectories jump to a distant attractor, which can be a fixed point, limit cycle, infinity, or in spaces with three or more dimensions, a foreign attractor.
Authors and Affiliations
Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin Bektešević, Sadjit Metović
Keywords
Related Articles
- EP ID EP716887
- DOI 10.54327/set2023/v3.i1.65
- Views 59
- Downloads 0
A practical implementation of machine learning in predicting breast cancer
Cancer is the leading disease in the world by the increasing number of new patients and deaths every year. Hence, it is the most feared disease of our time. It is believed that lung cancer and breast cancer are most comm...
Architectural Features of the First Period (13th-15th Century) Tekkes in the Balkan
Islamic religion spreading was influenced by the different local traditions among which Sufism, a religious mysticism (tasavvuf) organized under the institutions of tariqa emerged. This was followed by the emergence of a...
Dynamics and Bifurcation for One Non-linear System
In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system. We de...
Development of mobile communication systems for high-speed railway
Development of high-speed railways set up challenges for new communication technologies. With the increase in speed, new requirements for communication systems have emerged that HSR requires greater reliability, capacity...
Bosnia and Herzegovina market research on the use of autonomous vehicles and drones in postal traffic
New technologies primarily affect the lives of all people, their habits, needs, desires, but also significantly affect the demands placed on various business sectors. Discussions on the increasingly rapid development of...