Small parameter method in nonlinear reaction-diffusion systems: conditions of application, construction of solutions, bifurcation analysis (Q2808409)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Analysis of Nonlinear Reaction–Diffusion Systems by the Perturbation Method: Conditions of Application, Construction of Solutions, and Bifurcation Analysis |
scientific article; zbMATH DE number 6584004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small parameter method in nonlinear reaction-diffusion systems: conditions of application, construction of solutions, bifurcation analysis |
scientific article; zbMATH DE number 6584004 |
Statements
23 May 2016
0 references
approximate solutions
0 references
branching of solutions at bifurcation points
0 references
Small parameter method in nonlinear reaction-diffusion systems: conditions of application, construction of solutions, bifurcation analysis (English)
0 references
The authors propose a version of small parameter method for construction and analysis of solutions of nonlinear reaction-diffusion systems. The proposed technique allows to obtain analytically approximated small-amplitude quasi-harmonic solutions occurring as a result of bifurcation of spatially homogeneous states of the system, and also to specify the type of bifurcation in the system. The application of this approach to the analysis of bifurcations and construction of solutions for specific mathematical reaction-diffusion model is shown by examples.
0 references
