I am trying to understand attracting, Liapunov stable, asymptotically stable for given coupled system. I don't have any Liapunov function. Just two coupled systems such as
##\dot{x} = y##, ##\dot{y} = -4x##
or sometimes normal systems
##\dot{x} = -x##, ##\dot{y} = -5y##
How can I approach...