Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model
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Publication:5072406
DOI10.1142/S0218127422500468zbMath1487.35047OpenAlexW4220776914MaRDI QIDQ5072406
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Publication date: 28 April 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127422500468
Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) 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) Pattern formations in context of PDEs (35B36)
Related Items (2)
Hopf and Turing-Hopf bifurcation analysis of a delayed predator-prey model with schooling behavior ⋮ Turing-Hopf bifurcation co-induced by cross-diffusion and delay in Schnakenberg system
Cites Work
- Unnamed Item
- Gene expression time delays and Turing pattern formation systems
- Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model
- Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
- Stripe and spot patterns for the Gierer-Meinhardt model with saturated activator production
- Interior and boundary spikes for the two-dimensional Gierer-Meinhardt system
- Existence, nonexistence and uniqueness of positive stationary solutions of a singular Gierer-Meinhardt system
- The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems
- The dynamics of the stochastic shadow Gierer-Meinhardt system
- Finite time blowup of the stochastic shadow Gierer-Meinhardt system
- Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system
- A time-delay in the activator kinetics enhances the stability of a spike solution to the Gierer-Meinhardt model
- Stable spike clusters for the precursor Gierer-Meinhardt system in \(\mathbb {R}^2\)
- The explicit solution to the initial-boundary value problem of Gierer-Meinhardt model
- Spatiotemporal attractors generated by the Turing-Hopf bifurcation in a time-delayed reaction-diffusion system
- Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems
- Global existence and blowup solutions for the Gierer-Meinhardt system
- Turing-Hopf bifurcation of a delayed diffusive predator-prey system with chemotaxis and fear effect
- Turing-Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
- Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
- Some results on the Gierer-Meinhardt model with critical exponent \(p - 1 = r\)
- Spatiotemporal patterns induced by Turing and Turing-Hopf bifurcations in a predator-prey system
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system
- Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay
- Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point
- Spatio-temporal numerical solutions of the coupled real and complex Ginzburg-Landau amplitude equations for one-dimensional systems near the Turing-Hopf bifurcation
- Spike density distribution for the Gierer-Meinhardt model with precursor
- Pattern dynamics in a Gierer-Meinhardt model with a saturating term
- Turing-Hopf bifurcation and multi-stable spatio-temporal patterns in the Lengyel-Epstein system
- Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion
- Turing-Hopf patterns on growing domains: the torus and the sphere
- Blow-up of positive solutions to a singular Gierer-Meinhardt system
- Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay
- Dynamics of pulse solutions in Gierer-Meinhardt model with time dependent diffusivity
- On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
- Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime
- Bifurcation Analysis of a Diffusive Activator–Inhibitor Model in Vascular Mesenchymal Cells
- MULTIPLE BIFURCATION ANALYSIS AND SPATIOTEMPORAL PATTERNS IN A 1-D GIERER–MEINHARDT MODEL OF MORPHOGENESIS
- Stable spike clusters for the one-dimensional Gierer–Meinhardt system
- Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
- The chemical basis of morphogenesis
- Pattern Dynamics in a Diffusive Gierer–Meinhardt Model
- Temporal Forcing Induced Pattern Transitions Near the Turing–Hopf Bifurcation in a Plankton System
- Spatiotemporal Dynamics in Reaction–Diffusion Neural Networks Near a Turing–Hopf Bifurcation Point
- Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model
- The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer--Meinhardt Model
- Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production
- Stable asymmetric spike equilibria for the Gierer–Meinhardt model with a precursor field
- GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT
- TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
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