Integral curve graphics

Force field curves

Integral curves of the differential equation with . Initial conditions are on the unit circle (shown in gray) in the .

Integral curves of Newton’s second law with . Initial conditions are on the unit circle (shown in gray) in the ; for all curves.

Newtonian vector field integral curves

Integral curves of the Newtonian vector field of . Initial conditions are on the unit circle (shown in gray) in the .

Force field curves of the real and imaginary parts of the function

Integral curves of the differential equations and with . Initial conditions are on the unit circle (shown in gray) in the .

Integral curves of Newton’s second law in the potentials and . vanishes for all curves. vanishes for all curves.