Hopefully this is a quick questions. I'm trying to describe what an attracting heteroclinic cycle is but not sure really how to describe it or what it means. I have a 3-dimensional population model x(t), y(t), z(t), which has a phase portrait that spirals from one equilibrium point to three...
First off, Thanks in advance for anyone that can provide me with some help on this one.
i'm trying to tackle this problem and am not totally sure on probably this simplest part of the whole thing. I'm trying to find the equilibrium points for this competing model.
Obviously (0,0) is an...
Hopefully someone can help me out with this one. I was in a conversation and the topic came up on what can an can not be inconsistent.
Assume that A, x, and 0 are all of the corrent order for Ax=0. According to everything I have learned, Ax=b if b=0 then it is always consistent. Does...
I'm sorry, I guess I don't see how -(1-(1/x))*(1/x^.5)) is the same as -(x- 1)/x^1.5). I've been straining with with algebra but I just don't see that.
If it is -(x- 1)/x^1.5 then I'm at a loss for how to integrate this.
Thanks.
I'm trying to solve an IVP problem but have not had a lot of Diff Eq to really understand this.
The IVP is
dx/dt = -(1-(1/x))*(1/(x^.5)) , x>1
x(0) = 2
I guess some of the things I'm looking for with this is:
Any unique solutions
equilibrium points
Initial velocity
distance...