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Multiple Hopf Bifurcations of Four Coupled van der Pol Oscillators with Delay.
- Source :
- Mathematics (2227-7390); Dec2023, Vol. 11 Issue 23, p4831, 16p
- Publication Year :
- 2023
-
Abstract
- In this paper, a system of four coupled van der Pol oscillators with delay is studied. Firstly, the conditions for the existence of multiple periodic solutions of the system are given. Secondly, the multiple periodic solutions of spatiotemporal patterns of the system are obtained by using symmetric Hopf bifurcation theory. The normal form of the system on the central manifold and the bifurcation direction of the bifurcating periodic solutions are derived. Finally, numerical simulations are attached to demonstrate our theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOPF bifurcations
BIFURCATION theory
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 23
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 174113446
- Full Text :
- https://doi.org/10.3390/math11234831