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.

1.1 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 bsigma =10r =28b =8/3# initial conditionsx_0=-11y_0=-16z_0=22.5# the dynamical systemx_dot .= sigma*(y-x)y_dot .=x*(r -z)-yz_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.