- Source: Node (autonomous system)
The behaviour of a linear autonomous system around a critical point is a node if the following conditions are satisfied:
Each path converges to the or away from the critical point (dependent of the underlying equation) as
t
→
∞
{\displaystyle t\rightarrow \infty }
(or as
t
→
−
∞
{\displaystyle t\rightarrow -\infty }
). Furthermore, each path approaches the point asymptotically through a line.