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 critical point as $t \rightarrow \infty$ (or as $t \rightarrow - \infty$). Furthermore, each path approaches the point asymptotically through a line.^[1]

References

1. ^ George F. Simmons, Differential equations with applications and historical notes, Second edition, pp. 447–448.