Patterns of temperature pulses on electrically heated catalytic ribbons

Usuf Middya; Moshe Sheintuch; Michael D. Graham; Dan Luss

doi:10.1016/0167-2789(93)90119-L

Patterns of temperature pulses on electrically heated catalytic ribbons

Usuf Middya^*, Moshe Sheintuch, Michael D. Graham, Dan Luss

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

A rich and intricate variety of spatiotemporal temperature patterns is predicted to exist on the surface of a thin catalytic ribbon, the average temperature of which is kept by electrical heating at a preset value, when the catalytic surface undergoes slow activation-deactivation. The control of the average temperature introduces an integral constraint that generates patters that are not observed in its absence. This one-dimensional system exhibits (in addition to a chaotic behavior) four basic motions: unidirectional pulses, back-and-forth pulses, antiphase oscillation, and a source point from which two pulses emanate and move in opposite directions. Other motions we observed are combinations and transitions among these four. Several of the motions have already been observed experimentally. At some transitions, spatial structures appear to change discontinuosly and without hysteresis, suggesting global bifurcations.

Original language	English
Pages (from-to)	393-409
Number of pages	17
Journal	Physica D: Nonlinear Phenomena
Volume	63
Issue number	3-4
DOIs	https://doi.org/10.1016/0167-2789(93)90119-L
State	Published - 15 Mar 1993
Externally published	Yes

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title = "Patterns of temperature pulses on electrically heated catalytic ribbons",

abstract = "A rich and intricate variety of spatiotemporal temperature patterns is predicted to exist on the surface of a thin catalytic ribbon, the average temperature of which is kept by electrical heating at a preset value, when the catalytic surface undergoes slow activation-deactivation. The control of the average temperature introduces an integral constraint that generates patters that are not observed in its absence. This one-dimensional system exhibits (in addition to a chaotic behavior) four basic motions: unidirectional pulses, back-and-forth pulses, antiphase oscillation, and a source point from which two pulses emanate and move in opposite directions. Other motions we observed are combinations and transitions among these four. Several of the motions have already been observed experimentally. At some transitions, spatial structures appear to change discontinuosly and without hysteresis, suggesting global bifurcations.",

author = "Usuf Middya and Moshe Sheintuch and Graham, {Michael D.} and Dan Luss",

note = "Funding Information: We are thankful to the National Science Foundation and the Welch Foundation for support of this research.",

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TY - JOUR

T1 - Patterns of temperature pulses on electrically heated catalytic ribbons

AU - Middya, Usuf

AU - Sheintuch, Moshe

AU - Graham, Michael D.

AU - Luss, Dan

N1 - Funding Information: We are thankful to the National Science Foundation and the Welch Foundation for support of this research.

PY - 1993/3/15

Y1 - 1993/3/15

N2 - A rich and intricate variety of spatiotemporal temperature patterns is predicted to exist on the surface of a thin catalytic ribbon, the average temperature of which is kept by electrical heating at a preset value, when the catalytic surface undergoes slow activation-deactivation. The control of the average temperature introduces an integral constraint that generates patters that are not observed in its absence. This one-dimensional system exhibits (in addition to a chaotic behavior) four basic motions: unidirectional pulses, back-and-forth pulses, antiphase oscillation, and a source point from which two pulses emanate and move in opposite directions. Other motions we observed are combinations and transitions among these four. Several of the motions have already been observed experimentally. At some transitions, spatial structures appear to change discontinuosly and without hysteresis, suggesting global bifurcations.

AB - A rich and intricate variety of spatiotemporal temperature patterns is predicted to exist on the surface of a thin catalytic ribbon, the average temperature of which is kept by electrical heating at a preset value, when the catalytic surface undergoes slow activation-deactivation. The control of the average temperature introduces an integral constraint that generates patters that are not observed in its absence. This one-dimensional system exhibits (in addition to a chaotic behavior) four basic motions: unidirectional pulses, back-and-forth pulses, antiphase oscillation, and a source point from which two pulses emanate and move in opposite directions. Other motions we observed are combinations and transitions among these four. Several of the motions have already been observed experimentally. At some transitions, spatial structures appear to change discontinuosly and without hysteresis, suggesting global bifurcations.

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U2 - 10.1016/0167-2789(93)90119-L

DO - 10.1016/0167-2789(93)90119-L

M3 - 文章

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EP - 409

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3-4

ER -

Patterns of temperature pulses on electrically heated catalytic ribbons

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