Results 101 to 110 of about 116,098 (200)

Sequential bifurcation for observations with random errors [PDF]

Simulation;Bifurcation ...
Bettonvil, B.W.M.
core  

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   +3 more sources

Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system [PDF]

, 2002
A simple compression system model, described by a set of three ordinary nonlinear differential equations (the Moore-Greitzer model) is studied using bifurcation analysis to give a qualitative understanding of the presence of surge and rotating stall ...
Kullmann, L, Champneys, AR, Hos, C
core  

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  

Role of dimension and geometry: non-uniqueness in the pseudo-one-dimensional limit for Turing patterns on parallelograms

European Journal of Applied Mathematics
Turing patterns provide a classical mechanism for understanding self-organisation in reaction-diffusion systems. In one spatial dimension, a critical domain size is derivable, which defines the bifurcation point for patterning, meaning that domain ...
Thomas E. Woolley, Václav Klika
doaj   +1 more source

Turing-driven spiral defect chaos with stationary spiral tips: universal criticality in a time-discrete oscillatory system. [PDF]

Sci Rep
Wang Q, Gao J.
europepmc   +1 more source

Pattern Formation in a Spatial Public Goods Dilemma due to Diffusive or Directed Motion. [PDF]

Bull Math Biol
Zhao Y, Zhu K, Zhang Y, Cooney DB.
europepmc   +1 more source

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