Example · Undergraduate
Terms
| Term | This example | Why |
| basin of attraction |
✓ |
The plane without the origin is the basin of attraction of the Van der Pol limit cycle, because every solution except the equilibrium at the origin converges to it.
|
| forward invariant |
✓ |
The plane without the origin is forward invariant for the Van der Pol oscillator, because a solution that starts away from the origin never reaches it.
|
| region of attraction |
✗ |
The plane without the origin is not called a region of attraction, because that term usually refers to an equilibrium.
|
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