Question

Simulate the van der Pol oscillator y''

+α(y² −1)y′ +y=0 using MATLAB. Make 2-D plot of t vs. y(t). Make 2-D plot of t vs. y′ (t). Make 3-D plot of t,y(t),y′ (t). Also plot the phase plane 2-D plot of y′ (t) vs. y(t). Use y(0)=−0.1,y′ (0)=0.1.

For α=0.5

Answer 1

To simulate the van der Pol oscillator y'' +α(y² −1)y′ +y=0 using MATLAB, use the ode45 function to solve the differential equation. Define the initial conditions and the differential equation using a function handle. Plot the results using the provided plotting functions.

Step-by-step explanation:

To simulate the van der Pol oscillator y'' +α(y² −1)y′ +y=0 using MATLAB, you can use the ode45 function which solves ordinary differential equations. First, define the values of α, y(0), and y'(0) according to the given initial conditions. Then, define a function handle for the differential equation and use ode45 to solve it. Finally, plot the results using the provided plotting functions.