vault backup: 2024-09-30 13:43:01

2024-09-30 13:43:01 -04:00 · 2024-09-30 13:43:01 -04:00 · 460c368c16
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@ -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.