Stability and pattern formation in a coupled arbitrary order of autocatalysis system
From MaRDI portal
Publication:840120
DOI10.1016/j.apm.2007.12.013zbMath1168.35385OpenAlexW2071613471MaRDI QIDQ840120
Publication date: 5 September 2009
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2007.12.013
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
Related Items (9)
Two dimension spatial pattern formation in a coupled autocatalysis system ⋮ Stability and bifurcation analysis in the delay-coupled nonlinear oscillators ⋮ Stationary patterns in a two-cell coupled isothermal chemical system with arbitrary powers of autocatalysis ⋮ Analysis of bifurcation in a system of \(n\) coupled oscillators with delays ⋮ Stability and pattern formation in a general class of reaction-diffusion-advection system ⋮ Qualitative analysis on positive steady-state solutions for an autocatalysis model with high order ⋮ Turing pattern formation for reaction-convection-diffusion systems in fixed domains submitted to toroidal velocity fields ⋮ Computational examples of reaction-convection-diffusion equations solution under the influence of fluid flow: first example ⋮ Turing pattern formation on periodic geometrical figures with continuous growing: numerical experiments
Cites Work
- Interactions between pattern formation and domain growth
- Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme
- Turing pattern formation with two kinds of cells and a diffusive chemical
- Pattern formation in a 2D simple chemical system with general orders of autocatalysis and decay
- The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. III. Large time development in quadratic autocatalysis
- Reaction-diffusion waves in coupled isothermal autocatalytic chemical systems
- Pattern formation in a coupled cubic autocatalator system
- Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis
- The effect of an electric field on the local stoichiometry of front waves in an ionic chemical system
- Multistability, oscillations and travelling waves in a product-feedback autocatalator model. II The initiation and propagation of travelling waves
- The effects of coupling on pattern formation in a simple autocatalytic system
- Coupled reaction-diffusion waves in an isothermal autocatalytic chemical system
- The effects of a complexing agent on travelling waves in autocatalytic systems with applied electric fields
This page was built for publication: Stability and pattern formation in a coupled arbitrary order of autocatalysis system
