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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.