Dynamical Systems: Modeling
Temperature, acidity, how much is in the glass, percent of glass full, color, maybe even taste if it
could be quantified
Height above the ground, distance fallen, velocity of the ball, acceleration, angular velocity,
Height above the ground, distance fallen, orientation of leaf, . . .
Coordinates (three of them) of the spaceship relative to the earth in some coordinate system,
distance from the moon, fraction of the distance traveled
Current in the circuit, charge across the capacitor, . . .
Pain measured from 1 (very little) to 10 (severe), body temperature, blood pressure, precise
location of pain
Coordinates of the center of the hurricane, radius of the hurricane, rotational speed, barometric
pressure at the center, velocity at which the center is moving
Coordinates of the ball, speed, rotation
Orbital state of the electron, potential of the electron, electron spin
Number of students having the flu, daily change in the number coming down with the flu,
number of students not able to attend classes
Temperature, barometric pressure, wind speed, rain or sun, etc.
Height, weight, blood pressure,
, . . . endless others
GNP, jobless rate, national debt, interest rates, endless economic and social indicators