Transitions between two oscillatory states in a closed malonic acid Belousov-Zhabotinsky reaction simultaneously catalyzed by ferroin and cerium ions

Sjøgren, Carl E.; Kolboe, Stein; Ruoff, Peter

doi:10.1016/0009-2614(86)80428-6

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…The color of the solution catalyzed by both cerium ions and ferroin repeatedly changes, with roughly six phases of four colors, as shown in Figure 2. Sjøgren et al [13] published a brief experimental report on ORP oscillation and the color transition of a cerium-ferroin-catalyzed system. The main purpose of the current paper is to provide a theoretical proof for such a color transition.…”

Section: Chikahiro Egamimentioning

confidence: 99%

Mechanism for the color transition of the Belousov-Zhabotinsky reaction catalyzed by cerium ions and ferroin

Egami¹

2018

Discrete &Amp; Continuous Dynamical Systems - B

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The oscillation property of the Belousov-Zhabotinsky reaction and the color transition of its solution depend on the catalytic action of the metal ions. The solution of the reaction system catalyzed by both cerium ions and ferroin has a more complicated effect on the color than either the ceriumcatalyzed case or the ferroin-catalyzed case. To theoretically elucidate the color transition of the case catalyzed by these two ions, a reduced model consisting of three differential equations is proposed, incorporating both the Rovinsky-Zhabotinsky scheme and the Field-Körös-Noyes scheme simplified by Tyson [Ann. N.Y. Acad. Sci., 316 (1979), pp.279-295]. The presented model can have a limit cycle under reasonable conditions through a Hopf bifurcation, and its existence theorem is proven by employing the bifurcation criterion established by Liu [

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Section: Chikahiro Egamimentioning

confidence: 99%

Mechanism for the color transition of the Belousov-Zhabotinsky reaction catalyzed by cerium ions and ferroin

Egami¹

2018

Discrete &Amp; Continuous Dynamical Systems - B

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Chemilumineszenz‐Messungen in oszillierenden Belousov‐Žabotinskij‐Systemen bei der Einbeziehung von “Wöhlerschem Silicon”

Weigt¹,

Hähnert²

1990

Zeitschrift fuer Chemie

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Bild 1 Vollstandig-optimierte Molekulgcomctrien des I, 4-I3DPVB und der 1,4-BDPVB2*-lonen; CC-Bindungsabstiinde in pm S,-Strukturen drr t, 4-UDPVB2 I -1onen verdeutlichn wiedrrum dic strukt.urclle Antilogic zwisolien dem A",-Zustand des 1,4-BDPVB iind dem S,-Zustand der cioppelt-geladcnen Ionen, fiir die die bmzochinoide Strukturierung des mittlcren Plienylenringes sowic der anniihernde Bindungsausgleich der C-K e t k cliarakteristisch

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Video-Based Kinetic Analysis of Period Variations and Oscillation Patterns in the Ce/Fe-Catalyzed Four-Color Belousov–Zhabotinsky Oscillating Reaction

Glaser¹,

Downing²,

Zars³

et al. 2019

ACS Symposium Series

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Transitions between two oscillatory states in a closed malonic acid Belousov-Zhabotinsky reaction simultaneously catalyzed by ferroin and cerium ions

Cited by 3 publications

References 19 publications

Mechanism for the color transition of the Belousov-Zhabotinsky reaction catalyzed by cerium ions and ferroin

Mechanism for the color transition of the Belousov-Zhabotinsky reaction catalyzed by cerium ions and ferroin

Chemilumineszenz‐Messungen in oszillierenden Belousov‐Žabotinskij‐Systemen bei der Einbeziehung von “Wöhlerschem Silicon”

Video-Based Kinetic Analysis of Period Variations and Oscillation Patterns in the Ce/Fe-Catalyzed Four-Color Belousov–Zhabotinsky Oscillating Reaction

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