Abstract
The chaotic distributed dynamics of an exothermic reaction on a catalytic wafer is shown to evolve on a low-dimensional invariant manifold. The dominant spatial patterns during CO oxidation on a Rh black/SiO <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> wafer is obtained by carrying out a statistical Karhunen-Loeve (KL) analysis on the recorded IR thermograph in video images. The entire video sequence is then projected onto the phase space spanned by the 5 leading "empirical eigenfunctions" from the analysis. Statistical properties of the projected trajectories, such as the Lyapunov exponent, is of low dimensions (n≪5) and is fully captured by the KL technique. The more conventional delayed-embedding phase-space reconstruction technique from a point measurement is shown to be far less robust.
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