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 $t \rightarrow \infty$ (or as $t \rightarrow - \infty$). Furthermore, each path approaches the point asymptotically through a line. George F. Simmons, Differential equations with applications and historical notes, Second edition, pp. 447–448.

References

Ordinary differential equations

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