Results 31 to 40 of about 8,745 (203)
Non-linear effects on Turing patterns: time oscillations and chaos. [PDF]
, 2012 We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space, produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence,
Aragón, J. L. +4 more
core +1 more source
Spatio-temporal secondary instabilities near the Turing-Hopf bifurcation [PDF]
Scientific Reports, 2019 AbstractIn this work, we provide a framework to understand and quantify the spatiotemporal structures near the codimension-two Turing-Hopf point, resulting from secondary instabilities of Mixed Mode solutions of the Turing-Hopf amplitude equations.
Aldo Ledesma–Durán, J. L. Aragón
openaire +2 more sources
Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay
Complexity, 2020 In this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model.
Feifan Zhang +4 more
doaj +1 more source
Turing instabilities and patterns near a Hopf bifurcation [PDF]
Applied Mathematics and Computation, 2005 27 pages, 5 ...
openaire +3 more sources
Subcritical Turing bifurcation and the morphogenesis of localized patterns
Physical Review E, 2014 6 pages, 4 ...
Breña-Medina, Víctor, Champneys, Alan
openaire +3 more sources
Boundary Value Problems, 2019 In this paper, Turing patterns and steady state bifurcation of a diffusive Beddington–DeAngelis-type predator–prey model with density-dependent death rate for the predator are considered.
Hongwu Xu, Shengmao Fu
doaj +1 more source
Sufficient conditions for wave instability in three-component reaction-diffusion systems [PDF]
, 2013 Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to determine whether
Hata, Shigefumi +2 more
core +3 more sources
Cross-Diffusion-Driven Instability in a Predator-Prey System with Fear and Group Defense
Mathematics, 2020 In this paper, a reaction-diffusion prey-predator system including the fear effect of predator on prey population and group defense has been considered.
Maria Francesca Carfora +1 more
doaj +1 more source
Nonlinear Analysis, 2021 In this paper, we consider the dynamics of delayed Gierer–Meinhardt system, which is used as a classic example to explain the mechanism of pattern formation. The conditions for the occurrence of Turing, Hopf and Turing–Hopf bifurcation are established by
Shuangrui Zhao +2 more
doaj +1 more source
Turbulent patterns in wall-bounded flows: a Turing instability? [PDF]
, 2012 In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious.
Manneville, Paul
core +3 more sources