From e8da4617c381b762fd7c6cf066e6c0d59a41d19d Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Mon, 16 Sep 2024 13:02:07 -0400 Subject: [PATCH] vault backup: 2024-09-16 13:02:07 --- .../2024-09-16.md | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-16.md b/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-16.md index b2702fc9..1c0ea4b5 100644 --- a/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-16.md +++ b/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-16.md @@ -1,4 +1,17 @@ # Systems in the Plane +Why do we care about looking at systems in the plane? +Well - we want to know about equilibrium points and how the system behaves around them. + +Recall that equilibrium points are fixed. P = Q = 0 +## Some Loose definitions + +| Name | Definition | +| ------------- | ---------------------------------------------------------------------------------------------------- | +| Periodic | A trajectory loops upon itself | +| Stable | Trajectories converge to a point | +| Unstable | Trajectories diverge from a point | +| Linear Center | An equilibrium point that has orbits around it | +| Limit Cycle | Happens a lot with nonlinear systems. Trajectories are pulled some target trajectory and stay there. | **Documentation** - [<] ME2016 Week 3 Class ⏳ 2024-09-16 \ No newline at end of file