Geodesic
The Phenomenon of Frequency Pulling, Synchronization and Cessation of Self-oscillations of the Briggs–Rauscher Reaction Under Periodic Light Irradiation
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 2, pp. 209-216 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper explores the phenomenon of synchronization of concentration self-oscillations of the Briggs–Rauscher reaction under external periodic exposure to white light. A high sensitivity of the self-oscillating reaction regime to periodic light irradiation is shown. The paper presents the dependence of the synchronization band on light power, establishes the limiting values of external light irradiation power at which self-oscillations “go off”. The 0.04–0.1 Hz synchronization range of concentration oscillations under external light irradiation is determined. The phenomenon of frequency pulling of concentration oscillations occurred under external light irradiation with frequencies ranging from 0.029 to 0.039 Hz before synchronization and from 0.1 to 0.14 Hz after synchronization. It was established that, as the power of radiation from an external source was increased, the range of synchronization shifted to the low-frequency region of concentration oscillations, while the width of the range changed only slightly. When the luminous flux from the illumination source was less than 250 lm, no synchronization of the self-oscillating reaction regime arose, and when the luminous flux from the source was more than 5000 lm, the self-oscillatory process of the Briggs–Rauscher reaction ceased.
Keywords: self-oscillating reaction, synchronization, phenomenon of frequency pulling, threshold effect, cessation of the self-oscillating regime.
Mots-clés : oscillation phase 
@article{ND_2018_14_2_a4,
     author = {D. A. Usanov and A. P. Rytik and A. V. Gagarina and O. Yu. Kutikova},
     title = {The {Phenomenon} of {Frequency} {Pulling,} {Synchronization} and {Cessation} of {Self-oscillations} of the {Briggs{\textendash}Rauscher} {Reaction} {Under} {Periodic} {Light} {Irradiation}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {209--216},
     year = {2018},
     volume = {14},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2018_14_2_a4/}
}
TY  - JOUR
AU  - D. A. Usanov
AU  - A. P. Rytik
AU  - A. V. Gagarina
AU  - O. Yu. Kutikova
TI  - The Phenomenon of Frequency Pulling, Synchronization and Cessation of Self-oscillations of the Briggs–Rauscher Reaction Under Periodic Light Irradiation
JO  - Russian journal of nonlinear dynamics
PY  - 2018
SP  - 209
EP  - 216
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ND_2018_14_2_a4/
LA  - en
ID  - ND_2018_14_2_a4
ER  - 
%0 Journal Article
%A D. A. Usanov
%A A. P. Rytik
%A A. V. Gagarina
%A O. Yu. Kutikova
%T The Phenomenon of Frequency Pulling, Synchronization and Cessation of Self-oscillations of the Briggs–Rauscher Reaction Under Periodic Light Irradiation
%J Russian journal of nonlinear dynamics
%D 2018
%P 209-216
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/ND_2018_14_2_a4/
%G en
%F ND_2018_14_2_a4
D. A. Usanov; A. P. Rytik; A. V. Gagarina; O. Yu. Kutikova. The Phenomenon of Frequency Pulling, Synchronization and Cessation of Self-oscillations of the Briggs–Rauscher Reaction Under Periodic Light Irradiation. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 2, pp. 209-216. http://geodesic.mathdoc.fr/item/ND_2018_14_2_a4/

[1] Vavilin, V. A., “Autocatalysis and Fluctuations in Nature”, Priroda, 2005, no. 6, 52–59 (Russian)

[2] De Kepper, P. and Boissonade, J., “From Bistability to Sustained Oscillations in Homogeneous Chemical Systems in Flow Reactor Mode”, Oscillations and Traveling Waves in Chemical Systems, eds. R. Field, M. Burger, Wiley-Interscience, New York, 1985, 223–256

[3] Kozlovskaja, V. B., Radkevich, V. N., and Sacukevich, V. N., Electric Lighting: A Handbook, 2nd ed., Tekhnoperspektiva, Minsk, 2008, 271 pp. (Russian)

[4] Usanov, D. A., Skripal, A. V., and Usanova, T. B., Methods of Research and Correction Eye Movements in Nystagmus, SSU, Saratov, 2008, 116 pp. (Russian)

[5] De Kepper, P. and Epstein, I. R., “Mechanistic Study of Oscillations and Bistability in the Briggs – Rauscher Reaction”, J. Am. Chem. Soc., 104:1 (1982), 49–55 | DOI

[6] Dulos, E. and De Kepper, P., “Experimental Study of Synchronization Phenomena under Periodic Light Irradiation of a Nonlinear Chemical System”, Biophys. Chem., 18:3 (1983), 211–223 | DOI

[7] Luo, H., Wang, C., Ren, L., Gao, Q., Pan, C., and Epstein, I. R., “Light-Modulated Intermittent Wave Groups in a Diffusively Fed Reactive Gel”, Angew Chem. Int. Ed., 55:16 (2016), 4988–499 | DOI

[8] Kumpinsky, E., Epstein, I. R., and De Kepper, P., “Model Study of Synchronization and Other Phenomena in Light Perturbation of the Briggs – Rauscher Reaction”, Int. J. Chem. Kinet., 17:3 (1985), 345–354 | DOI

[9] Vanag, V. K., Zhabotinsky, A. M., and Epstein, I. R., “Pattern Formation in the Belousov – Zhabotinsky Reaction with Photochemical Global Feedback”, J. Phys. Chem. A, 2000, no. 104, 11566–11577 | DOI