The mathematical model of a systemis given by:
x ̈ +(x^2- η) x ̇ +w^(2 )x=0
For w=1
Show that a stable equilibrium point becomes unstable as the parameter 𝜂 is varied from -1 in +1 using phase plane analysis.
At what value of 𝜂 does the instability occur?
What happens to the system after the equilibrium point becomes unstable?The mathematical model of a systemis given by:
x ̈ +(x^2- η) x ̇ +w^(2 )x=0
For w=1
Show that a stable equilibrium point becomes unstable as the parameter 𝜂 is varied from -1 in +1 using phase plane analysis.
At what value of 𝜂 does the instability occur?
What happens to the system after the equilibrium point becomes unstable? The mathematical model of a systemis given by:
x ̈ +(x^2- η) x ̇ +w^(2 )x=0
For w=1
Show that a stable equilibrium point becomes unstable as the parameter 𝜂 is varied from -1 in +1 using phase plane analysis.
At what value of 𝜂 does the instability occur?
What happens to the system after the equilibrium point becomes unstable? control system MATLAB Answers — New Questions

​