Identification of observed dynamic bifurcations and development of qualitative models

Moshe Sheintuch; Dan Luss

doi:10.1016/0009-2509(87)80208-7

Identification of observed dynamic bifurcations and development of qualitative models

Moshe Sheintuch, Dan Luss^*

^*Corresponding author for this work

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

15 Scopus citations

Abstract

A systematic study of dynamical systems requires finding a series of bifurcation diagrams instead of just cases with different phase plane behaviour. A scheme is developed for identifying experimentally observed bifurcations (transitions) in the dynamic features of a system characterized by two state variables. Maps of experimentally found bifurcation points in a two parameter (operating conditions) plane may be used to estimate the location of singular points and their nature (defining conditions). This information may be used to predict new types of dynamic behaviour and corresponding operating conditions. Moreover, it can be used to develop a simple (qualitative) mathematical model which predicts all the observed dynamic features and transitions.

Original language	English
Pages (from-to)	41-52
Number of pages	12
Journal	Chemical Engineering Science
Volume	42
Issue number	1
DOIs	https://doi.org/10.1016/0009-2509(87)80208-7
State	Published - 1987
Externally published	Yes

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title = "Identification of observed dynamic bifurcations and development of qualitative models",

abstract = "A systematic study of dynamical systems requires finding a series of bifurcation diagrams instead of just cases with different phase plane behaviour. A scheme is developed for identifying experimentally observed bifurcations (transitions) in the dynamic features of a system characterized by two state variables. Maps of experimentally found bifurcation points in a two parameter (operating conditions) plane may be used to estimate the location of singular points and their nature (defining conditions). This information may be used to predict new types of dynamic behaviour and corresponding operating conditions. Moreover, it can be used to develop a simple (qualitative) mathematical model which predicts all the observed dynamic features and transitions.",

author = "Moshe Sheintuch and Dan Luss",

note = "Funding Information: Acknowledgement-We are thankful Foundation for support of this work.",

year = "1987",

doi = "10.1016/0009-2509(87)80208-7",

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AU - Luss, Dan

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Y1 - 1987

N2 - A systematic study of dynamical systems requires finding a series of bifurcation diagrams instead of just cases with different phase plane behaviour. A scheme is developed for identifying experimentally observed bifurcations (transitions) in the dynamic features of a system characterized by two state variables. Maps of experimentally found bifurcation points in a two parameter (operating conditions) plane may be used to estimate the location of singular points and their nature (defining conditions). This information may be used to predict new types of dynamic behaviour and corresponding operating conditions. Moreover, it can be used to develop a simple (qualitative) mathematical model which predicts all the observed dynamic features and transitions.

AB - A systematic study of dynamical systems requires finding a series of bifurcation diagrams instead of just cases with different phase plane behaviour. A scheme is developed for identifying experimentally observed bifurcations (transitions) in the dynamic features of a system characterized by two state variables. Maps of experimentally found bifurcation points in a two parameter (operating conditions) plane may be used to estimate the location of singular points and their nature (defining conditions). This information may be used to predict new types of dynamic behaviour and corresponding operating conditions. Moreover, it can be used to develop a simple (qualitative) mathematical model which predicts all the observed dynamic features and transitions.

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JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 1

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Identification of observed dynamic bifurcations and development of qualitative models

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