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• W2053119622 abstract "Annals of the New York Academy of SciencesVolume 357, Issue 1 p. 377-396 EXPERIMENTAL STUDY OF THE TRANSITION TO TURBULENCE IN THE BELOUSOV-ZHABOTINSKY REACTION C. Vidal, C. Vidal Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this authorJ.-C. Roux, J.-C. Roux Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this authorS. Bachelart, S. Bachelart Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this authorA. Rossi, A. Rossi Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this author C. Vidal, C. Vidal Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this authorJ.-C. Roux, J.-C. Roux Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this authorS. Bachelart, S. Bachelart Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this authorA. Rossi, A. Rossi Centre de Recherche Paul Pascal 33405 Talence, FranceSearch for more papers by this author First published: December 1980 https://doi.org/10.1111/j.1749-6632.1980.tb29705.xCitations: 49AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 Ruelle, D. & F. Takens. 1971. The transition to turbulence. Commun. Math. Phys. 20: 167–92;. 2 Ruelle, D. 1973. Some comments on chemical oscillations. Trans. N.Y. Acad. Sci. 35: 66–71. 2 Olsen, L. F. & H. Degn. 1977. Chaos in an enzyme reaction. Nature (London) 267: 177–78;. 4 Degn, H., L. F. Olsen & J. W. Perran. 1979. Bistability, oscillation and chaos in an enzyme reaction. In Bifurcation Theory and Applications in Scientific Disciplines. O. Gurel and O. E. Rossler, Eds. Ann. N.Y. Acad. Sci. 316: 623–37. 3 Rossler, O. E. & K. Wegmann. 1978. Chaos in the Zhabotinsky reaction. Nature (London) 271: 89–90;. 6 Wegmann, K. & O. E. Rossler. 1978. Different kinds of chaotic oscillations in the Belousov-Zhabotinsky reaction. Z. Naturforsch. Teil A 33: 1179–82. 4 Schmitz, R. A., K. R. Graziani & J. L. Hudson. 1977. Experimental evidence of chaotic states in the Belousov-Zhabotinsky reaction. J. Chem. Phys. 67: 3040–44. 5 Hudson, J. L., M. Hart & D. Marinko. 1979. An experimental study of multiple peak periodic and non-periodic oscillations in the Belousov-Zhabotinsky reaction. J. Chem. Phys. 71: 1601–6; Hudson, J. L., D. Marinko & C. Dove. 1979. Experiments on complex oxcillations and chaos in the Belousov-Zhabotinsky reaction. Lecture given at the discussion meeting, Kinetics of Physico-chemical Oscillations, held in Aachen, FRG. 6 Swinney, H. L. & J. P. Gollub. 1978. The transition to turbulence. Phys. Today 31: 41–49. 7 Gollub, J. P. & H. L. Swinney. 1975. Onset of turbulence in a rotating fluid. Phys. Rev. Lett. 35: 927–30. 8 Swinney, H. L., P. R. Fenstermacher & J. P. Gollub. 1977. Transition to turbulence in a fluid flow. In Synergetics: A Workshop, H. Haken, Ed.: 60–69. Springer-Verlag. New York ; Fenstermacher, P. R., H. L. Swinney, S. V. Benson & J. P. Gollub. 1979. Bifurcations to periodic, quasiperiodic, and chaotic regimes in rotating and convecting fluids. In Bifurcation Theory and Applications in Scientific Disciplines. O. Gurel and O. E. Rossler, Eds. Ann. N.Y. Acad. Sci. 316: 652–66; Fenstermacher, P. R., H. L. Swinney & J. P. Gollub. 1979. Dynamical instabilities and the transition to chaotic Taylor vortex flow. J. Fluid. Mech. 94: 103–28. 9 Gollub, J. P. & S. V. Benson. 1978. Chaotic response to periodic perturbation of a convecting fluid. Phys. Rev. Lett. 41: 948–51. 10 Gollub, J. P. & S. V. Benson. 1980. Phase-locking in the oscillations leading to turbulence. In Pattern Formation by Dynamic Systems and Pattern Recognition. H. Haken, Ed. Springer-Verlag. New York . 11 Yamazaki, H., Y. Oono & K. Hirakawa. 1978. Experimental study on chemical turbulence. J. Phys. Soc. Jap. 44: 335; 1979. Ibid. 46: 721–28. 12 Vidal, C., J.-C. Roux & A. Rossi. 1980. Quantitative measurement of intermediate species in sustained Belousov-Zhabotinsky oscillations. J. Am. Chem. Soc. 102: 1241–45. 13 Roux, J.-C., S. Sanchez & C. Vidal. 1976. Etude expérimentale dcs structures dissipatives temporelles. C. R. Acad. Sci. Ser. B. 282: 451–54: Roux, J.-C. & C. Vidal. 1979. Sur une méthode d'étude expérimentale des réactions périodiques. Nouv. J. Chim. 3: 247–53. 14 Vidal, C., J.-C. Roux, A. Rossi & S. Bachflart. 1979. Etude de la transition vers la turbulence chimique dans la réaction de Belousov-Zhabotinsky. C. R. Acad. Sci. Ser. C. 289: 73–6. 15 Higgins, R. J 1976. Fast Fourier transform: An introduction with some minicomputer experiments. Am. J. Phys. 44: 766–73: Brigham, E. O. 1974. The Fast Fourier transform. Prentice-Hall. Englewood Cliffs , N.J . 16 Tyson, J. J. 1978. On the appearance of chaos in a model of the Belousov reaction. J. Math. Biol. 5: 351–62. 17 Turner, J. S. 1979. Periodic and nonperiodic oscillations in the Belousov-Zhabotinsky reaction. Lecture given at the discussion meeting, Kinetics of Physico-chemical Oscillations, held in Aachen, FRG. 18 Landau, I. D. & E. Lifshitz. 1971. Mecanique des Fluides. Physique Théorique. Vol. 6. Mir. Moscou: 126–33. 19 Lorenz, E. N. 1963. Deterministic nonperiodic flow. J. Atmos. Sci. 20: 130–41. 20 Tomita, K. & I. Tsuda. 1975. Chaos in the Belousov-Zhabotinsky reaction in a flow system. Phys. Lett. A 71: 489–92. Citing Literature Volume357, Issue1Nonlinear DynamicsDecember 1980Pages 377-396 ReferencesRelatedInformation" @default.
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