where \(\sigma=10\), \(b=8/3\) and \(r=28\) are the classical parameters that generate the butterfly as presented by Edward Lorenz back in his seminal 1963 paper Deterministic non-periodic flow.

lorenz.was

Please note the beauty of both the Lorenz system and the associated wasora input.

# lorenz' seminal dynamical systemPHASE_SPACExyzend_time=40# parametersCONST sigma r b
sigma =10
r =28
b =8/3# initial conditionsx_0=-11y_0=-16z_0=22.5# the dynamical system
x_dot .= sigma*(y-x)
y_dot .=x*(r -z)-y
z_dot .=x*y- b*zPRINTtxyzHEADER# exercise: play with the system! change# the parameters and plot, plot plot!

The ability to solve the Lorenz system—that has both intrigued and inspired me since I was old enough to understand differential equations—with such simple and concise instructions shows me that indeed wasora has something to provide to the scientific/engineering community.

See also the besssugo plugin quickstart examples for videos of applications of wasora to solve and study the Lorenz equations—and other chaotic dynamical systems.