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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/SiO2 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...
In an earlier article in this meeting [1], we have demonstrated that the Karhunen-Lueve (KL) empirical eigen function technique can capture the thermal coherent structures of the spatio-temporal dynamics during CO oxidation on a Rh black/SiO2 wafer. Projection of the video images onto the phase space spanned by the empirical eigen functions yields a low-dimensional phase-space reconstruction of the...
In some previous manuscripts [1,2], we showed that when a general class of systems with a resonant frequency is coupled to a delay element, the composite system can have two cross-over frequencies at some critical delays. This implies that the composite system under feedback control will destabilize at high gain with two frequencies. This constitutes a torus attractor in dynamical systems theory....
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