Numerical comparisons show the Kuramoto-Sivashinsky equation produces intrinsic spatio-temporal chaos while the Lorenz system and its KS reduction produce only low-dimensional temporal chaos.
Wilczak, Chaos in the Kuramoto–Sivashinsky equatio ns — a computer assisted proof, J
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Structural Distinction in ODE and PDE Chaos:Lorenz vs Kuramoto--Sivashinsky Equation
Numerical comparisons show the Kuramoto-Sivashinsky equation produces intrinsic spatio-temporal chaos while the Lorenz system and its KS reduction produce only low-dimensional temporal chaos.