On the dynamics of periodically forced chemical reactors

I. G. Kevrekidis; L. D. Schmidt; R. Aris

doi:10.1080/00986448408911136

On the dynamics of periodically forced chemical reactors

I. G. Kevrekidis, L. D. Schmidt, R. Aris

Chemical & Biological Engineering

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

41 Scopus citations

Abstract

A method for studying the dynamics of periodically forced chemical reactors is presented along with the appropriate numerical techniques for its implementation. The method is capable of routinely treating many characteristics of forced oscillatory systems such as subharmonic and related bifurcations, bifurcations to invariant tori and frequency locking. It involves direct solution for the fixed points of the stroboscopic map. This procedure is particularly suitable for detecting certain routes to deterministic chaos such as the Feigenbaum period doubling cascade. Some illustrative examples from a homogeneous catalytic reactor model are included.

Original language	English (US)
Pages (from-to)	323-330
Number of pages	8
Journal	Chemical Engineering Communications
Volume	30
Issue number	6
DOIs	https://doi.org/10.1080/00986448408911136
State	Published - Nov 1 1984

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering

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10.1080/00986448408911136

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abstract = "A method for studying the dynamics of periodically forced chemical reactors is presented along with the appropriate numerical techniques for its implementation. The method is capable of routinely treating many characteristics of forced oscillatory systems such as subharmonic and related bifurcations, bifurcations to invariant tori and frequency locking. It involves direct solution for the fixed points of the stroboscopic map. This procedure is particularly suitable for detecting certain routes to deterministic chaos such as the Feigenbaum period doubling cascade. Some illustrative examples from a homogeneous catalytic reactor model are included.",

author = "Kevrekidis, {I. G.} and Schmidt, {L. D.} and R. Aris",

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AU - Aris, R.

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N2 - A method for studying the dynamics of periodically forced chemical reactors is presented along with the appropriate numerical techniques for its implementation. The method is capable of routinely treating many characteristics of forced oscillatory systems such as subharmonic and related bifurcations, bifurcations to invariant tori and frequency locking. It involves direct solution for the fixed points of the stroboscopic map. This procedure is particularly suitable for detecting certain routes to deterministic chaos such as the Feigenbaum period doubling cascade. Some illustrative examples from a homogeneous catalytic reactor model are included.

AB - A method for studying the dynamics of periodically forced chemical reactors is presented along with the appropriate numerical techniques for its implementation. The method is capable of routinely treating many characteristics of forced oscillatory systems such as subharmonic and related bifurcations, bifurcations to invariant tori and frequency locking. It involves direct solution for the fixed points of the stroboscopic map. This procedure is particularly suitable for detecting certain routes to deterministic chaos such as the Feigenbaum period doubling cascade. Some illustrative examples from a homogeneous catalytic reactor model are included.

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On the dynamics of periodically forced chemical reactors

Abstract

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