When
then
so point (0,0) is stable or unstable point.
One of the methods to discover this is to linearise this system
and find eigenvalues. If
it is stable.
Please look here
www.personal.rdg.ac.uk/~shs99vmb/notes/anc/lecture2.pdf
page 12.
What can you say about the (Liapunov) stability of the zero solution of the following system?
???
First of all, what the heck is the "zero solution"?
Second, does anyone know how to answer this? I don't even know where to start. If it were a linear system then I'd convert to a first-order vector form, but it's not, so I can't.
Any help would be much appreciated!
When
then
so point (0,0) is stable or unstable point.
One of the methods to discover this is to linearise this system
and find eigenvalues. If
it is stable.
Please look here
www.personal.rdg.ac.uk/~shs99vmb/notes/anc/lecture2.pdf
page 12.