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Period-doubling and chaotic oscillations in the ferroin-catalyzed Belousov-Zhabotinsky reaction in a CSTR

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Abstract

The ferroin-catalyzed Belousov-Zhabotinsky (BZ) reaction, the oxidation of malonic acid by acidic bromate, is the most commonly investigated chemical system for understanding spatial pattern formation. Various oscillatory behaviors were found from such as mixed-mode and simple period-doubling oscillations and chaos on both Pt electrode and Br-ISE at high flow rates to mixed-mode oscillations on Br-ISE only at low flow rates. The complex dynamic behaviors were qualitatively reproduced with a two-cycle coupling model proposed initially by Györgyi and Field. This investigation offered a proper medium for studying pattern formation under complex temporal dynamics. In addition, it also shows that complex oscillations and chaos in the BZ reaction can be extended to other bromate-driven nonlinear reaction systems with different metal catalysts.

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References

  1. Zhabotinskii A M. Periodic kinetics of oxidation of malonic acid in solution (study of the Belousov reaction kinetics). Biofizika, 1964, 9: 306–311

    CAS  Google Scholar 

  2. Zhabotinshii A M. Periodic liquid-phase oxidation reactions. Dokl Akad Nauk SSSR, 1964, 157: 392–395

    Google Scholar 

  3. Field R J, Körös E, Noyes R M. Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromatecerium-malonic acid system. J Am Chem Soc, 1972, 94: 8649–8664

    Article  CAS  Google Scholar 

  4. Field R J, Burger M. Oscillations and Traveling Waves in Chemical Systems. New York: Wiley, 1985

    Google Scholar 

  5. Rouff P, Noyes R M. An amplified Oregonator model simulating alternative excitabilities, transitions in types of oscillations and temporary bistability in a closed system. J Chem Phys, 1986, 84: 1413–1423

    Article  Google Scholar 

  6. Noszticzius Z, McCormick W D, Swinney H L. Use of bifurcation diagrams as fingerprints of chemical mechanisms. J Phys Chem-US, 1989, 93: 2796–2800

    Article  CAS  Google Scholar 

  7. Gyorgyi L, Field R J, Noszticzius Z, McCormick W D, Swinney H L. Confirmation of high flow rate chaos in the Belousov-Zhabotinskii reaction. J Phys Chem-US, 1992, 96: 1228–1233

    Article  CAS  Google Scholar 

  8. Nagygyory S, Wittmann M, Pintér S, Visegrády A, Dancsó A, Thuy N B, Noszticzius Z. Alternative reaction channels and carbene intermediates in the Ce4+-malonic acid and Ce4+-bromomalonic acid reactions. 1. CO2 measurements. J Phys Chem A, 1999, 103: 4885–4892

    Article  CAS  Google Scholar 

  9. De kepper P, Rossi A, Pacault A. Etude d’une réaction chimique périodique. Diagramme d’État de la réaction de Belousov-Zhabotinskii. C R Acad Sci Ser C, 1976, 283: 371–375

    Google Scholar 

  10. De kepper P, Bar-Eli K. Dynamical properties of the Belousov-Zhabotinskii reaction in a flow system: Theoretical and experimental analysis. J Phys Chem-US, 1983, 87: 480–488

    Article  Google Scholar 

  11. Ruoff P, Noyes R M. Chemical oscillations and instabilities; Part 61. Temporary bistability and unusual oscillatory behavior in a closed Belousov-Zhabotinskii reaction system. J Phys Chem-US, 1985, 89: 1339–1341

    Article  CAS  Google Scholar 

  12. Maselko J, Swinney H L. Complex periodic oscillations and Farey arithmetic in the Belousov-Zhabotinskii reaction. J Chem Phys, 1986, 85: 6430–6441

    Article  CAS  Google Scholar 

  13. Bergé P, Pomeau Y, Vidal C. Order within Chaos. New York: Wiley, 1986

    Google Scholar 

  14. Strizhak P E, Kawczyńskim A L. Complex transient oscillations in the Belousov-Zhabotinskii reaction in a batch reactor. J Phys Chem-US, 1995, 99: 10830–10833

    Article  CAS  Google Scholar 

  15. Wang J, Zhao J, Chen Y, Gao Q, Wang Y. Coexistence of two bifurcation regimes in a closed ferroin-catalyzed Belousov-Zhabotinsky reaction. J Phys Chem A, 2005, 109: 1374–1381

    Article  CAS  Google Scholar 

  16. Rachwalska M, Kawczyński A L. Regularities in complex transient oscillations in the Belousov-Zhabotinsky reaction in a CSTR. J Phys Chem A, 1997, 101: 1518–1522

    Article  CAS  Google Scholar 

  17. Kalishin E Yu, Goncharenko M M, Khavrus V A, Strizhak V A. Periodic, mixed-mode, and chaotic regimes in the Belousov-Zhabotinskii reaction catalyzed by ferroin. Kinet Catal, 2002, 43: 233–244

    Article  CAS  Google Scholar 

  18. Moss F. Noisy waves. Nature, 1998, 391: 743–744

    Article  CAS  Google Scholar 

  19. Vanag V K, Epstein I R. Inwardly rotating spiral waves in a reaction-diffusion system. Science, 2001, 294: 835–837

    Article  CAS  Google Scholar 

  20. Park J S, Woo S, Lee K. Transverse instability of line defects of period-2 spiral waves. Phys Rev Lett, 2004, 93: 098302-2–098302-4

    Google Scholar 

  21. Wolf A, Swift J B, Swinney H L, Vastano J A. Determining Lyapunov exponents from a time series. Physica D, 1985, 16: 285–317

    Article  Google Scholar 

  22. Györgyi L, Field R J. Simple models of deterministic chaos in the Belousov-Zhabotinskii reaction. J Phys Chem-US, 1991, 95: 6594–6602

    Article  Google Scholar 

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Correspondence to Gao QingYu.

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Supported by the National Natural Science Foundation of China (Grant No. 20573134) and the Program for New Century Excellent Talents in Chinese University (Grant No. NCET-05-0477)

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Zong, C., Gao, Q., Wang, Y. et al. Period-doubling and chaotic oscillations in the ferroin-catalyzed Belousov-Zhabotinsky reaction in a CSTR. SCI CHINA SER B 50, 205–211 (2007). https://doi.org/10.1007/s11426-007-0026-8

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  • DOI: https://doi.org/10.1007/s11426-007-0026-8

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