منابع مشابه
Bifurcation and Stability Analyses for a Coupled Brusselator Model
This paper addresses the dynamic behaviour of a chemical oscillator arising from the series coupling of two Brusselators. Of particular interest is the study of the associated Hopf bifurcation and double-Hopf bifurcations. The motion of the oscillator may either be periodic (bifurcating from a Hopf-type critical point), or quasi-periodic (bifurcating from a compound critical point). Furthermore...
متن کاملStability of Turing patterns in the Brusselator model.
The selection and competition of Turing patterns in the Brusselator model are reviewed. The stability of stripes and hexagons towards spatial perturbations is studied using the amplitude equation formalism. For hexagonal patterns these equations include both linear and nonpotential spatial terms enabling distorted solutions. The latter modify substantially the stability diagrams and select patt...
متن کاملRefined stability thresholds for localized spot patterns for the Brusselator model in R
In the singular perturbation limit ǫ → 0, we analyze the linear stability of multi-spot patterns on a bounded 2-D domain, with Neumann boundary conditions, as well as periodic patterns of spots centered at the lattice points of a Bravais lattice in R, for the Brusselator reaction-diffusion model vt = ǫ ∆v + ǫ − v + fuv , τut = D∆u+ 1 ǫ ( v − uv ) , where the parameters satisfy 0 < f < 1, τ > 0,...
متن کاملStability diagram for the forced Kuramoto model.
We analyze the periodically forced Kuramoto model. This system consists of an infinite population of phase oscillators with random intrinsic frequencies, global sinusoidal coupling, and external sinusoidal forcing. It represents an idealization of many phenomena in physics, chemistry, and biology in which mutual synchronization competes with forced synchronization. In other words, the oscillato...
متن کاملMesa-type patterns in the one-dimensional Brusselator and their stability
The Brusselator is a generic reaction-diffusion model for a tri-molecular chemical reaction. We consider the case when the input and output reactions are slow. In this limit, we show the existence of K-periodic, spatially bi-stable structures, mesas, and study their stability. Using singular perturbation techniques, we find a threshold for the stability of K mesas. This threshold occurs in the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal Special Topics
سال: 2017
ISSN: 1951-6355,1951-6401
DOI: 10.1140/epjst/e2017-70020-x