Open AccessBifurcation Diagram of W(u_j;τ)-Function with (p,q)-Parameters
Author(s) -
Zainab S. Madhi,
Mudhir A. Abdul Hussain
Publication year - 2022
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2022.63.2.23
Subject(s) - bifurcation diagram , bifurcation , mathematics , diagram , function (biology) , boundary (topology) , lyapunov function , mathematical analysis , order (exchange) , bifurcation theory , mathematical physics , physics , statistics , quantum mechanics , finance , nonlinear system , evolutionary biology , economics , biology
This study aims to classify the critical points of functions with 4 variables and 8 parameters, we found the caustic for the certain function with the spreading of the critical points. Finally, as an application, we found the bifurcation solutions for the equation of sixth order with boundary conditions using the Lyapunov-Schmidt method in the variational case.