From 460c368c164a63e9c73b4a19efc0c56aa1ff3aeb Mon Sep 17 00:00:00 2001
From: Dane Sabo <dane.sabo@pitt.edu>
Date: Mon, 30 Sep 2024 13:43:01 -0400
Subject: [PATCH] vault backup: 2024-09-30 13:43:01

---
 .../2024-09-30 Limit Cycles.md                                 | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-30 Limit Cycles.md b/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-30 Limit Cycles.md
index b18ff0324..b96d7fbe4 100644
--- a/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-30 Limit Cycles.md	
+++ b/300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-09-30 Limit Cycles.md	
@@ -57,3 +57,6 @@ $= 2 c_1 x(y-x^3) + 2c_2 y(-x-y^3)$
 Assume $c_1 = c_2$
 ... $\therefore \frac{dV}{dt} = -2c(x^4+y^4) < 0$
 Therefore limit cycles are not possible. 
+
+### Index Method
+This is a method covered in the book. Sometimes is used to rule out limit cycles.