Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model
DOI10.1142/S0218127422501322zbMath1495.35021OpenAlexW4288518743MaRDI QIDQ5094770
Publication date: 4 August 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127422501322
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model
- Mathematical aspects of pattern formation in biological systems
- Stripe and spot patterns for the Gierer-Meinhardt model with saturated activator production
- Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
- Bifurcation and Turing patterns of reaction-diffusion activator-inhibitor model
- Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system
- Pattern dynamics in a Gierer-Meinhardt model with a saturating term
- MULTIPLE BIFURCATION ANALYSIS AND SPATIOTEMPORAL PATTERNS IN A 1-D GIERER–MEINHARDT MODEL OF MORPHOGENESIS
- Explicitly solvable eigenvalue problem and bifurcation delay in sub-diffusive Gierer–Meinhardt model
- The chemical basis of morphogenesis
- Stability and Hopf Bifurcation Analysis of a Reduced Gierer–Meinhardt Model
- Pattern Dynamics in a Diffusive Gierer–Meinhardt Model
- Dynamics Analysis in a Gierer–Meinhardt Reaction–Diffusion Model with Homogeneous Neumann Boundary Condition
- Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model
- Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production
- Stripe and Spot Patterns for General Gierer–Meinhardt Model with Common Sources
This page was built for publication: Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model
