A1 3 Chaos of Meteorology

Abstract

In this paper, we investigated the effects of the initial parameters of a system being altered and
the resulting behaviour of the Lorenz system; a scientific model in chaos theory. The simulation
was performed using two values of σ, 5.06 and 0.506, with fixed values of β = 8
3 and ρ = 28.
The subsequent graphs show the difference in σ, with the larger value showing more chaotic
characteristics; having pronounced oscillations and repeated loops spiralling, whilst the smaller
value followed a simple, predictable path. These results proved that a small change can have an
enormous effect in a chaotic system.