Node (autonomous system)

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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.
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