19 lines
1.3 KiB
Markdown
19 lines
1.3 KiB
Markdown
# Systems in the Plane
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Why do we care about looking at systems in the plane?
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Well - we want to know about equilibrium points and how the system behaves around them.
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Recall that equilibrium points are fixed. P = Q = 0
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## Some Loose definitions
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| Name | Definition |
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| ------------- | ---------------------------------------------------------------------------------------------------- |
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| Periodic | A trajectory loops upon itself |
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| Stable | Trajectories converge to a point |
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| Unstable | Trajectories diverge from a point |
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| Linear Center | An equilibrium point that has orbits around it |
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| Limit Cycle | Happens a lot with nonlinear systems. Trajectories are pulled some target trajectory and stay there. |
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# Written Notes
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![[LINE Systems in the Plane.png]]
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**Documentation**
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- [x] ME2016 Week 3 Class ⏳ 2024-09-16 ✅ 2024-09-16 |