Find whether this system is stable or unstable at the steady state (x1,x2)=(0,0)
dx1/dt = -x1+2sin(x1)+x2
The Attempt at a Solution
[ 1 1 ]
[ 0 2 ]
so the system is unstable.
This problem is from my notes from class; I'm not 100% certain that it is written correctly. I am very confused about the part where z1 is set equal to x1 (I believe this is called linearization)? Could someone please clarify this step for me and how on earth
dx2/dt=2sin(x2) becomes dz2/dt=2z2 ?
The rest is pretty straightforward.