Phase portraits and bifurcation diagram of the Gray-Scott model
From MaRDI portal
Publication:1997233
DOI10.1016/j.jmaa.2020.124840zbMath1462.34075OpenAlexW3113264865MaRDI QIDQ1997233
Ting Chen, Jaume Llibre, Shimin Li
Publication date: 1 March 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124840
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items
On global behavior of a some SIR epidemic model based on the Poincaré compactification, Turing‐Turing and Turing‐Hopf bifurcations in a general diffusive Brusselator model
Cites Work
- Unnamed Item
- Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential
- Global phase portrait of a degenerate Bogdanov-Takens system with symmetry
- Phase portraits of separable Hamiltonian systems
- Quadratic Hamiltonian vector fields
- Phase portrait of Hamiltonian systems with homogeneous nonlinearities
- Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields
- Bifurcation of limit cycles at infinity in piecewise polynomial systems
- Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots
- \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields
- Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four
- Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
- Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
- Qualitative theory of planar differential systems
- Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials
- A SURVEY ON THE BLOW UP TECHNIQUE
- Global Bifurcation Map of the Homogeneous States in the Gray–Scott Model
