Bifurcation sequences in an incompletely macromixed stirred tank

C. I. Liu; H. J. Wen; D. J. Lee

doi:10.1016/S0009-2614(97)00428-4

Bifurcation sequences in an incompletely macromixed stirred tank

C. I. Liu
, H. J. Wen
, D. J. Lee

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

Complex periodic and aperiodic dynamics have been reported in a model of an incompletely macromixed stirred tank reactor. A route to chaos following a 1^j bifurcation (j can be odd or even depending on the space time and reflux ratios) was identified. We demonstrate that Farey arithmetics describe the even-j bifurcation sequence. The firing number versus reflux ratio staircase exhibits a fractal dimension. No such relation exists in the odd-j bifurcation sequence.

Original language	English
Pages (from-to)	167-170
Journal	Chemical Physics Letters
Volume	271
Issue number	1-3
DOIs	https://doi.org/10.1016/S0009-2614(97)00428-4
Publication status	Published - 6 Jun 1997
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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title = "Bifurcation sequences in an incompletely macromixed stirred tank",

abstract = "Complex periodic and aperiodic dynamics have been reported in a model of an incompletely macromixed stirred tank reactor. A route to chaos following a 1j bifurcation (j can be odd or even depending on the space time and reflux ratios) was identified. We demonstrate that Farey arithmetics describe the even-j bifurcation sequence. The firing number versus reflux ratio staircase exhibits a fractal dimension. No such relation exists in the odd-j bifurcation sequence.",

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AU - Liu, C. I.

AU - Wen, H. J.

AU - Lee, D. J.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 1997/6/6

Y1 - 1997/6/6

N2 - Complex periodic and aperiodic dynamics have been reported in a model of an incompletely macromixed stirred tank reactor. A route to chaos following a 1j bifurcation (j can be odd or even depending on the space time and reflux ratios) was identified. We demonstrate that Farey arithmetics describe the even-j bifurcation sequence. The firing number versus reflux ratio staircase exhibits a fractal dimension. No such relation exists in the odd-j bifurcation sequence.

AB - Complex periodic and aperiodic dynamics have been reported in a model of an incompletely macromixed stirred tank reactor. A route to chaos following a 1j bifurcation (j can be odd or even depending on the space time and reflux ratios) was identified. We demonstrate that Farey arithmetics describe the even-j bifurcation sequence. The firing number versus reflux ratio staircase exhibits a fractal dimension. No such relation exists in the odd-j bifurcation sequence.

UR - https://www.scopus.com/pages/publications/0031555987

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U2 - 10.1016/S0009-2614(97)00428-4

DO - 10.1016/S0009-2614(97)00428-4

M3 - RGC 21 - Publication in refereed journal

SN - 0009-2614

VL - 271

SP - 167

EP - 170

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 1-3

ER -

Bifurcation sequences in an incompletely macromixed stirred tank

Abstract

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