Hi, I am studying dynam systems and have missed some classes and am not sure if i'm on the right track or not,
dx/dt = rx - ( x/(1 + (x^2)))
when asked to calc the fixed points for this system i figured to set the RHS to equal 0 and solve for x which gave me;
x = (+/-) sqrt((1/r) - 1 )
Have i done this correctly?
It then asks me to determine the stability of the fixed points and i'm unsure how to proceed.
Any help will be greatly appreciated am really struggling with this subject.