Method of Centre Manifold from Bifurcation Theory

Autor: Basher Suleiman Othman
Rok vydání: 2019
Předmět:
Zdroj: International Journal of Scientific Research and Management. 7
ISSN: 2321-3418
DOI: 10.18535/ijsrm/v7i10.m01
Popis: The aim of this paper is to introduce tools from bifurcation theory is necessary in ways in our life particularly in the study of neural field equations set in the primary visual cortex. So we deal with saddle-node, trans- critical, pitchfork and Hopf. Bifurcations as an elementary bifurcation; directly related to the center manifold theory which is a canonical way to write differential equations. We conclude this paper with an overview of bifurcations with symmetry by solving some problems and giving Branching Lemma as the equivariant result
Databáze: OpenAIRE