Suppose, I have a system of simultaneous nonlinear differential equations as follows:
where, x & y are variable ; x' & y' represents time derivative of x and y ; a & h are parameters.
Now to solve this, one can use DSolve or by taking x'=0 & y'=0 (for fixed point calculation) , i.e. take the polynomial and by using FindRoot or Ruduce or other options.
My quarry is that what is the easiest way to get fixed points (solutions) in terms of a & h .