Math, physics, engineering, and our lives are closely related. Physics formulates the nature’s motion with mathematics. This provides applications to creating a convenient system for our living.

Let us introduce a two dimensional discrete mapping:

x_(n+1) = 0.6x + y + 5.2/(1.0 + x^2)

y_(n+1) = -0.9999x

The plot is shown as a picture above.

The above equation is a mathematical example, but such model can be used to analyze population growth, radioactive decay, pollution control, medication dosages, robotics, etc.