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Spatial Turing Patterns of Periodic Solutions for the Brusselator System with Cross-Diffusion-Like Coupling.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Oct2023, Vol. 33 Issue 13, p1-11. 11p. - Publication Year :
- 2023
-
Abstract
- In this paper, we consider the Brusselator system with cross-diffusion-like coupling and study Turing bifurcation of its stable Hopf bifurcating periodic solutions. According to the Brusselator system's diffusivity, a formula is established to determine the Turing bifurcation of periodic solutions. Additionally, for the Brusselator system with cross-diffusion-like coupling, a proof method for its periodic solutions to generate Turing bifurcation is given. Finally, the theoretical results are further verified by numerical simulations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 33
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 173311859
- Full Text :
- https://doi.org/10.1142/S0218127423501481