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HOPF BIFURCATIONS IN DYNAMICAL SYSTEMS VIA ALGEBRAIC TOPOLOGICAL METHOD.
- Source :
- Matematicki Vesnik; Sep2023, Vol. 75 Issue 3, p216-224, 9p
- Publication Year :
- 2023
-
Abstract
- A nonlinear phenomenon in nature is often modeled by a system of differential equations with parameters. The bifurcation occurs when a parameter varies in such systems, causing a qualitative change in its solution. In this paper, we study one of the most exciting bifurcations, which is Hopf bifurcation. We use tools from algebraic topology to analyze and reveal supercritical and subcritical Hopf bifurcations. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOPF bifurcations
DYNAMICAL systems
DIFFERENTIAL equations
LIMIT cycles
Subjects
Details
- Language :
- English
- ISSN :
- 00255165
- Volume :
- 75
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Matematicki Vesnik
- Publication Type :
- Academic Journal
- Accession number :
- 164896235
- Full Text :
- https://doi.org/10.57016/MV-rx451is8