Results 81 to 90 of about 970 (177)

Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs

Journal of Nonlinear Science
AbstractThe Swift–Hohenberg equation (SHE) is a partial differential equation that explains how patterns emerge from a spatially homogeneous state. It has been widely used in the theory of pattern formation. Following a recent study by Bramburger and Holzer (SIAM J Math Anal 55(3):2150–2185, 2023), we consider discrete SHE on deterministic and random ...
Georgi S. Medvedev, Dmitry E. Pelinovsky
openaire   +2 more sources

Spatiotemporal pattern formation in a three-variable CO oxidation reaction model

Condensed Matter Physics, 2018
The spatiotemporal pattern formation is studied in the catalytic carbon monoxide oxidation reaction that takes into account the diffusion processes over the Pt(110) surface, which may contain structurally different areas. These areas are formed during CO-
I.S. Bzovska, I.M. Mryglod
doaj   +1 more source

Turing conditions for a two-component isotropic growing system from a potential function

Results in Applied Mathematics
We analyze pattern formation in a two-component system within an isotropically growing or shrinking domain. By studying the evolution of a Lyapunov-like function, we derive time-dependent Turing bifurcation conditions through a stability analysis of ...
Aldo Ledesma-Durán, Consuelo García-Alcántara, Iván Santamaría-Holek   +2 more
doaj   +1 more source

Turing–Turing Bifurcation and Normal Form in a Predator–Prey Model with Predator-Taxis and Prey Refuge

International Journal of Bifurcation and Chaos
This paper investigates a predator–prey reaction–diffusion model incorporating predator-taxis and a prey refuge mechanism, subject to homogeneous Neumann boundary conditions. Our primary focus is the analysis of codimension-2 Turing–Turing bifurcation and the calculation of its associated normal form for this model.
openaire   +2 more sources

Turing and Hopf bifurcation of Gierer-Meinhardt activator-substrate model

Electronic Journal of Differential Equations, 2017
Gierer-Meinhardt model acts as one of prototypical reaction diffusion systems describing pattern formation phenomena in natural events. Bifurcation analysis, including theoretical and numerical analysis, is carried out on the Gierer-Meinhardt ...
Ranchao Wu, Yan Shao, Yue Zhou, Liping Chen   +3 more
doaj  

Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]

J Math Biol
Spiliotis K, Russo L, Siettos C, Giannino F.   +3 more
europepmc   +1 more source

Numerical analysis & modelling in the life sciences: a topical collection in honor of Ezio Venturino. [PDF]

J Math Biol
Bulai IM, Cavoretto R, De Rossi A.
europepmc   +1 more source

Using Floquet theory to unravel far-from equilibrium dynamics in reaction-diffusion systems. [PDF]

PNAS Nexus
Juma VO, Mapfumo KZ, Portet S, Madzvamuse A.   +3 more
europepmc   +1 more source

Stabilising spatiotemporal dynamics of mussel-algae coupled map lattices model via proportional-differential control. [PDF]

J Math Biol
Zhu Y, Ma X, Wang J, Frascoli F, Zhang T.   +4 more
europepmc   +1 more source

Revisiting Turing's Chemical Basis of Morphogenesis. [PDF]

Bull Math Biol
Tyson JJ.
europepmc   +1 more source