The van der Pol equation is where is a parameter. This system exhibits a limit cycle

The van der Pol equation is

where μ is a parameter. This system exhibits a limit cycle in the plane (x, ˙x) (i.e., in momentum-position phase space). For the parameter μ = 1.1, write a MATLAB program that uses numerical integration to determine whether this is a stable limit cycle or an unstable limit cycle. You may need to consider a number of initial guesses in order to answer this question. Your program should automatically generate a plot that demonstrates the stability/instability of the limit cycle.

Transcribed Image Text:

x+μ(x² - 1)x+x=0