supported by the National Natural Science Foundation of China(No.11671359);the Science Foundation of Zhejiang Sci-Tech University under Grant No.15062173-Y;supported by the provincial Natural Science Foundation of Zhejiang(LY16A010009)
This paper is devoted to establishing a critical value of the concentration of one intermediary reactant which determines whether pattern solutions of a class of Brusselator models exist or not.We introduce a new meth...
Supported by National Natural Science Foundation of China under Grant Nos.11105051,11104071,11247272;Fundamental Research Funds for Central Universities,Beijing Higher Education Elite Young Teacher Project;Youth Scholars Program of Beijing Normal University
The competition of waves has remained a hot topic in physics over the past few decades,especially the area of pattern control.Because of improved understanding of various dynamic behaviors,many practical applications ...
supported by the National Natural Science Foundation of China (Nos. 10971124 and 11001160);the Natural Science Basic Research Plan in Shaanxi Province of China (Nos. 2011JQ1015 and 2009JQ100);the Doctor Start-up Research Fund of Shaanxi University of Science and Technology (No. BJ10-17)
The general Brusselator system is considered under homogeneous Neumann boundary conditions.The existence results of the Hopf bifurcation to the ordinary differential equation (ODE) and partial differential equation ...
The oscillation behavior of a two-dimension lattice-gas Brusselator model was investigated. We have adopted a coarse-grained kinetic Monte Carlo (CG-KMC) procedure, where m×m microscopic lattice sites are grouped t...