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 b18ff032..b96d7fbe 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.