Phase Space of an Intermittently Driven Oscillator

time

T

70

parameters

ω

1

γ

0.1

a

2.5

s

0.1

Ω

0.3

initial conditions

x

0

0.

y

0

0.

φ

0

0.

This Demonstration explores the position-velocity phase space

(x,y)

of a damped oscillator, where a freely running drive is coupled to the oscillator only when the position is between

-s

and

+s

. The parameters:

ω

denotes the angular frequency of the oscillator,

γ

the damping coefficient,

a

the amplitude of the drive, and

Ω

the angular frequency of the drive. You can also vary the initial conditions of the position

x

0

, velocity

y

0

, and the initial phase of the drive

φ

0

.