Use of observed transitions for classification of dynamic systems-Application to cool flames

M. Sheintuch; D. Luss

doi:10.1016/0010-2180(88)90063-6

Use of observed transitions for classification of dynamic systems-Application to cool flames

M. Sheintuch^*, D. Luss

^*Corresponding author for this work

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

2 Scopus citations

Abstract

The dynamics of cool flames are often described by maps of the boundaries between qualitatively different types of behavior. A scheme is presented for the identification of these boundaries (bifurcations) in the dynamic behavior. This information yields important insight into the behavior of the system and is helpful in mathematical model development and selection. Even more discriminating information is obtained by finding the nature of singular points existing at the intersection of several bifurcation sets. A systematic identification requires a classification of all the possible singular points. Such a classification is presented for a certain class of frequently occurring systems having widely separated time scales. The methodology is illustrated by the analysis of observations in propane and acetadehyde oxidation.

Original language	English
Pages (from-to)	267-281
Number of pages	15
Journal	Combustion and Flame
Volume	71
Issue number	3
DOIs	https://doi.org/10.1016/0010-2180(88)90063-6
State	Published - Mar 1988
Externally published	Yes

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10.1016/0010-2180(88)90063-6

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title = "Use of observed transitions for classification of dynamic systems-Application to cool flames",

abstract = "The dynamics of cool flames are often described by maps of the boundaries between qualitatively different types of behavior. A scheme is presented for the identification of these boundaries (bifurcations) in the dynamic behavior. This information yields important insight into the behavior of the system and is helpful in mathematical model development and selection. Even more discriminating information is obtained by finding the nature of singular points existing at the intersection of several bifurcation sets. A systematic identification requires a classification of all the possible singular points. Such a classification is presented for a certain class of frequently occurring systems having widely separated time scales. The methodology is illustrated by the analysis of observations in propane and acetadehyde oxidation.",

author = "M. Sheintuch and D. Luss",

note = "Funding Information: We are thankful to the Welch Foundation for support of this work.",

year = "1988",

month = mar,

doi = "10.1016/0010-2180(88)90063-6",

language = "英语",

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journal = "Combustion and Flame",

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T1 - Use of observed transitions for classification of dynamic systems-Application to cool flames

AU - Sheintuch, M.

AU - Luss, D.

N1 - Funding Information: We are thankful to the Welch Foundation for support of this work.

PY - 1988/3

Y1 - 1988/3

N2 - The dynamics of cool flames are often described by maps of the boundaries between qualitatively different types of behavior. A scheme is presented for the identification of these boundaries (bifurcations) in the dynamic behavior. This information yields important insight into the behavior of the system and is helpful in mathematical model development and selection. Even more discriminating information is obtained by finding the nature of singular points existing at the intersection of several bifurcation sets. A systematic identification requires a classification of all the possible singular points. Such a classification is presented for a certain class of frequently occurring systems having widely separated time scales. The methodology is illustrated by the analysis of observations in propane and acetadehyde oxidation.

AB - The dynamics of cool flames are often described by maps of the boundaries between qualitatively different types of behavior. A scheme is presented for the identification of these boundaries (bifurcations) in the dynamic behavior. This information yields important insight into the behavior of the system and is helpful in mathematical model development and selection. Even more discriminating information is obtained by finding the nature of singular points existing at the intersection of several bifurcation sets. A systematic identification requires a classification of all the possible singular points. Such a classification is presented for a certain class of frequently occurring systems having widely separated time scales. The methodology is illustrated by the analysis of observations in propane and acetadehyde oxidation.

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U2 - 10.1016/0010-2180(88)90063-6

DO - 10.1016/0010-2180(88)90063-6

M3 - 文章

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SN - 0010-2180

VL - 71

SP - 267

EP - 281

JO - Combustion and Flame

JF - Combustion and Flame

IS - 3

ER -

Use of observed transitions for classification of dynamic systems-Application to cool flames

Abstract

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