Results 261 to 270 of about 234,823 (303)

Pattern formation and Turing instability in an activator–inhibitor system with power-law coupling

Physica A: Statistical Mechanics and Its Applications, 2015
We investigate activator–inhibitor systems in two spatial dimensions with a non-local coupling, for which the interaction strength decreases with the lattice distance as a power-law. By varying a single parameter we can pass from a local (Laplacian) to a
Ricardo L Viana, S R Lopes
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Hopf bifurcation in an activator–inhibitor system with network

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanling Shi, Zuhan Liu, Canrong Tian
openaire   +1 more source

Feedback loops for chaos in activator-inhibitor systems

The Journal of Chemical Physics, 2005
Previous investigations have revealed that special constellations of feedback loops in a network can give rise to saddle-node and Hopf bifurcations and can induce particular bifurcation diagrams including the occurrence of various codimension-two points.
Sensse, A., Eiswirth, M.
openaire   +3 more sources

Turing pattern formation in fractional activator-inhibitor systems

Physical Review E, 2005
Activator-inhibitor systems of reaction-diffusion equations have been used to describe pattern formation in numerous applications in biology, chemistry, and physics. The rate of diffusion in these applications is manifest in the single parameter of the diffusion constant, and stationary Turing patterns occur above a critical value of d representing the
B I, Henry, T A M, Langlands, S L, Wearne   +2 more
openaire   +2 more sources

Complex nonlinear dynamics in subdiffusive activator–inhibitor systems

Communications in Nonlinear Science and Numerical Simulation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Datsko, B., Gafiychuk, V.
openaire   +2 more sources

Turing pattern dynamics in an activator-inhibitor system with superdiffusion

Physical Review E, 2014
The fractional operator is introduced to an activator-inhibitor system to describe species anomalous superdiffusion. The effects of the superdiffusive exponent on pattern formation and pattern selection are studied. Our linear stability analysis shows that the wave number of the Turing pattern increases with the superdiffusive exponent.
Lai, Zhang, Canrong, Tian
openaire   +2 more sources

Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems

SIAM Journal on Applied Dynamical Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgardo Villar-Sepúlveda, Alan R. Champneys   +1 more
openaire   +1 more source

Diffusive instabilities in a hyperbolic activator-inhibitor system with superdiffusion

Physical Review E, 2018
We investigate analytically and numerically the conditions for wave instabilities in a hyperbolic activator-inhibitor system with species undergoing anomalous superdiffusion. In the present work, anomalous superdiffusion is modeled using the two-dimensional Weyl fractional operator, with derivative orders α∈ [1,2].
Alain, Mvogo, Jorge E, Macías-Díaz, Timoléon Crépin, Kofané   +2 more
openaire   +2 more sources

Stable Patterns Generated by Activator-Inhibitor Systems

Mathematical Medicine and Biology, 1986
The paper is concerned with a discrete morphogenetic model of activator-inhibitor type. The aim is to give a theoretical explanation for what we understand as the first step in pattern formation for a growing object: as long as the object remains small enough, its shape is spatially homogeneous, while passing a critical length results in a spontaneous ...
openaire   +3 more sources

Front Dynamics in an Activator-Inhibitor System of Equations

2017
We consider the construction of formal asymptotic approximation for solution of the singularly perturbed boundary value problem of an activator-inhibitor type with a solution in a form of moving front. Corresponding asymptotic analysis provides a priori information about the localization of the transition point for moving front that is further used for
Alina Melnikova, Natalia Levashova, Dmitry Lukyanenko   +2 more
openaire   +1 more source