The Lorenz system is a set of ordinary differential equations first studied by Edward Lorenz.
In this video , the differential equations have been numerically solved for two case studies with slight change in initial conditions.
The animation shows the trajectories of the two solutions. It is remarkable to visualise that a minor change in initial conditions leads
to considerably different solutions. The solution for two simulations fo the Lorenz attractor (a set of chaotic solutions of the Lorenz system) is shown in this animation.
The resulting pattern and the sensitivity regarding initial starting conditions is also known as the "butterfly effect"
The "Butterfly Effect", is the "sensitive dependence on initial conditions", and is the essence of chaos.
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