Title
Bifurcation solutions in the diffusive minimal sediment.
Abstract
This paper is concerned with the diffusive minimal sediment model with no-flux boundary conditions. The steady-state bifurcation with two-dimensional kernel is firstly obtained with respect to this model by the space decomposition and the implicit function theorem. The existence of the Hopf bifurcation is next attained, and the direction and the stability of the Hopf bifurcation are analyzed in detail. Numerical simulations are done to support and complement the theoretical results.
Year
DOI
Venue
2019
10.1016/j.camwa.2018.10.036
Computers & Mathematics with Applications
Keywords
Field
DocType
Steady-state bifurcation,Hopf bifurcation,Diffusive minimal sediment model,Numerical simulations
Kernel (linear algebra),Sediment,Boundary value problem,Mathematical analysis,Implicit function theorem,Space decomposition,Hopf bifurcation,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
77
3
0898-1221
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
qian cao143.58
Jianhua Wu263.07
Yan'e Wang300.34