Abstract
Chaotic dynamic states with intermittent oscillations were generated in a Bray–Liebhafsky (BL) oscillatory reaction in an isothermal open reactor i.e., in the continuously-fed well-stirred tank reactor (CSTR) when the inflow concentration of potassium iodate was the control parameter. They are found between periodic oscillations obtained when [KIO3]0 < 3.00 × 10–2 M and stable steady states when [KIO3]0 > 4.10 × 10–2 M. It was shown that the most chaotic states obtained experimentally somewhere in the middle of this region are in high correlation with results obtained by means of largest Lyapunov exponents and phenomenological analysis based on the quantitative characteristics of intermittent oscillations.
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References
Y. Pomeau and P. Manneville, Commun. Math. Phys. 74 189 (1980).
R. C. Hilborn, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, 2nd ed. (Oxford Univ. Press, Oxford, 2004).
H. G. Schuster and W. Just, Deterministic Chaos—An Introduction, 4th ed. (Wiley-VCH, Weinheim, 2005).
J. Chopin-Dumas, C.R. Acad. Sci. 287C, 553 (1978).
Y. Pomeau, J. C. Roux, A. Rossi, S. Bachelart, and C. Vidal, J. Phys. Lett. (Paris) 42, 271 (1981).
J. C. Roux, A. Rossi, S. Bachelart, and C. Vidal, Physica D 2, 395 (1981).
G. Baier, K. Wegmann, and J. L. Hudson, Phys. Lett. A 141, 340 (1989).
N. Kreisberg, W. D. McCormick, and H. L. Swinney, Physica D 50, 463 (1991).
P. Strizhak and M. Menzinger, J. Chem. Educ. 73, 868 (1996).
V. Vukojević, S. Anić, and Lj. Kolar-Anić, J. Phys. Chem. A 104, 10731 (2000).
M. Milošević, N. Pejić, Ž. Čupić, S. Anić, and Lj. Kolar-Anić, Mater. Sci. Forum 494, 369 (2005).
A. Cadena, D. Barragan, and J. Agreda, J. Braz. Chem. Soc. 24, 2028 (2013).
R. Cervellati and S. D. Furrow, Russ. J. Phys. Chem. A 87, 2121 (2013).
Ž. Čupić, Lj. Kolar-Anić, S. Anić, S. Maćešić, J. Maksimović, M. Pavlović, M. Milenković, I. N. Bubanja, E. Greco, S. D. Furrow, and R. Cervellati, Helv. Chim. Acta 97, 321 (2014).
E. M. Izhikevich, Siam J. Appl. Math. 60, 503 (2000).
E. M. Izhikevich, Int. J. Bifurcat. Chaos 10, 1171 (2000).
W. C. Bray, J. Am. Chem. Soc. 43, 1262 (1921).
W. C. Bray and H. A. Liebhafsky, J. Am. Chem. Soc. 53, 38 (1931).
I. N. Bubanja, S. Maćešić, A. Ivanović-Šašić, Ž. Čupić, A. Anić, and Lj. Kolar-Anić, Phys. Chem. Chem. Phys. 18, 9770 (2016).
N. D. Pejić, S. M. Blagojević, S. R. Anić, V. B. Vukojević, M. D. Mijatović, J. S. Ćirić, Z. S. Marković, S. D. Marković, and Lj. Kolar-Anić, Anal. Chim. Acta 582, 367 (2007).
A. Z. Ivanović-Šašić, Ž. D. Čupić, M. M. Janković, Lj. Kolar-Anić, and S. R. Anić, Phys. Chem. Chem. Phys. 10, 5848 (2008).
N. Pejić, S. Anić, V. Kuntić, V. Vukojević, and Lj. Kolar-Anić, Microchim. Acta 143, 261 (2003).
V. Vukojević, S. Anić, and Lj. Kolar-Anić, Phys. Chem. Chem. Phys. 4, 1276 (2002).
N. Pejić, Lj. Kolar-Anić, J. Maksimović, M. Janković, V. Vukojević, and S. Anić, React. Kinet. Mech. Catal. 118, 15 (2016).
M. Dubois, M. A. Rubio, and P. Berge, Phys. Rev. Lett. 51, 1446 (1983).
A. Z. Ivanović, V. M. Marković, S. R. Anić, Lj. Z. Kolar-Anić, and Ž. D. Čupić, Phys. Chem. Chem. Phys. 13, 20162 (2011).
B. Stanković, Ž. Čupić, S. Macešić, N. Pejić, and Lj. Kolar-Anić, Chaos Soliton. Fract. 87, 84 (2016).
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Bubanja, I.N., Ivanović-Šašić, A., Čupić, Ž. et al. Intermittent Chaos in the Bray–Liebhafsky Oscillator. Dependence of Dynamic States on the Iodate Concentration. Russ. J. Phys. Chem. 91, 2525–2529 (2017). https://doi.org/10.1134/S0036024417130076
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DOI: https://doi.org/10.1134/S0036024417130076