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Question: How to solve nonlinear transcendental equations, stability and parameter loop?

Question:How to solve nonlinear transcendental equations, stability and parameter loop?

eager0626 55 Maple 2020
rootfinding parameter fsolve plotting stability
September 18 2021
0

Hi!

I am so pleased to be here to look for help in using Maple.

I am trying to find solutions to a set of nonlinear systems of equations using fsolve.

This code I am tried to solve is shown as follow:

 nonlinearsystemforallsolution.mw

I can get one solution for three variables, however, it's clear there are some solutions missed.

My questions are listed as:

1) How do I get all solutions for a fixed variable of sigma?

2) How do I create a  loop to obtain the solutions for various values of sigma?

3) How to plot solution of each variables versus sigma? 

3) How do I determine the stability of each solution?

Many thanks in advance.

sincerely

 
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