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Volumn 11, Issue 5, 2001, Pages 1275-1294

Laser experiments and theoretical modeling for the diagnosis of bifurcation sequences of an oscillating electrode reaction

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EID: 0035324891     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401002717     Document Type: Article
Times cited : (15)

References (38)
  • 1
    • 0004027301 scopus 로고
    • Academic Press, San Diego, Chap. 14, 3rd edition
    • Arfken, G. [1985] Mathematical Methods for Physicists (Academic Press, San Diego), Chap. 14, 3rd edition, pp. 760-761.
    • (1985) Mathematical Methods for Physicists , pp. 760-761
    • Arfken, G.1
  • 2
    • 0003423405 scopus 로고    scopus 로고
    • WCB McGraw Hill, Boston, Chaps. 9, 19, 25, 3rd edition
    • Chapra, S. C. & Canale, R. P. [1998] Numerical Methods for Engineers (WCB McGraw Hill, Boston), Chaps. 9, 19, 25, 3rd edition, pp. 259, 527, 695.
    • (1998) Numerical Methods for Engineers , pp. 259
    • Chapra, S.C.1    Canale, R.P.2
  • 3
    • 26444601286 scopus 로고    scopus 로고
    • Negative coupling during oscillatory pattern formation on a ring electrode
    • Christoph, J., Otterstedt, R. D., Eiswirth, M., Jaeger, N. I. & Hudson, J. L. [1999] "Negative coupling during oscillatory pattern formation on a ring electrode," J. Chem. Phys. 110(17), 8614-8621.
    • (1999) J. Chem. Phys. , vol.110 , Issue.17 , pp. 8614-8621
    • Christoph, J.1    Otterstedt, R.D.2    Eiswirth, M.3    Jaeger, N.I.4    Hudson, J.L.5
  • 4
    • 0041137704 scopus 로고
    • Theory of electrochemical oscillations
    • Degn, H. [1968] "Theory of electrochemical oscillations," Trans. Farad. Soc. 64, 1348-1358.
    • (1968) Trans. Farad. Soc. , vol.64 , pp. 1348-1358
    • Degn, H.1
  • 5
    • 0023288023 scopus 로고
    • Chaos during the electrodissolution of iron
    • Diem, C. B. & Hudson, J. L. [1987] "Chaos during the electrodissolution of iron," AIChE J. 33(2), 218-224.
    • (1987) AIChE J. , vol.33 , Issue.2 , pp. 218-224
    • Diem, C.B.1    Hudson, J.L.2
  • 6
    • 0000091153 scopus 로고
    • A general model for pattern formation in electrode reactions
    • Flätgen, G. & Krischer, K. [1995] "A general model for pattern formation in electrode reactions," J. Chem. Phys. 103(13), 5428-5436.
    • (1995) J. Chem. Phys. , vol.103 , Issue.13 , pp. 5428-5436
    • Flätgen, G.1    Krischer, K.2
  • 7
    • 0001744093 scopus 로고
    • Periodische electrodenprozesse und ihre beschreibung ducrch ein mathematisches model
    • Franck, U. F. & FitzHugh, R. [1961] "Periodische electrodenprozesse und ihre beschreibung ducrch ein mathematisches model," Z. Electrochem. 65, 156-168.
    • (1961) Z. Electrochem. , vol.65 , pp. 156-168
    • Franck, U.F.1    Fitzhugh, R.2
  • 9
    • 0016974653 scopus 로고
    • Semiconductor electrodes
    • Hardee, K. L. & Bard, A. J. [1976] "Semiconductor electrodes," J. Electrochem. Soc. 123(7), 1024-1026.
    • (1976) J. Electrochem. Soc. , vol.123 , Issue.7 , pp. 1024-1026
    • Hardee, K.L.1    Bard, A.J.2
  • 11
    • 0000287848 scopus 로고
    • Spatiotemporal period coupling during the electrodissolution of iron
    • Hudson, J. L., Tabora, J., Krischer, K. & Kevrekidis, I. G. [1993] "Spatiotemporal period coupling during the electrodissolution of iron," Phys. Lett. A179(4&5), 355-363.
    • (1993) Phys. Lett. , vol.A179 , Issue.4-5 , pp. 355-363
    • Hudson, J.L.1    Tabora, J.2    Krischer, K.3    Kevrekidis, I.G.4
  • 12
    • 0028425922 scopus 로고
    • Electrochemical reaction dynamics: A review
    • Hudson, J. L. & Tsotsis, T. T. [1994] "Electrochemical reaction dynamics: A review," Chem. Eng. Sci. 49(10), 1493-1572.
    • (1994) Chem. Eng. Sci. , vol.49 , Issue.10 , pp. 1493-1572
    • Hudson, J.L.1    Tsotsis, T.T.2
  • 13
    • 0030635262 scopus 로고    scopus 로고
    • Constructing normal forms from experimental observations and time series analysis
    • Karantonis, A. & Pagitsas, M. [1997] "Constructing normal forms from experimental observations and time series analysis," Int. J. Bifurcation and Chaos 7(1), 107-127.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.1 , pp. 107-127
    • Karantonis, A.1    Pagitsas, M.2
  • 14
    • 0001543317 scopus 로고
    • Waves in excitable media
    • Keener, J. P. [1980] "Waves in excitable media," SIAM J. Appl. Math. 39(3), 528-548.
    • (1980) SIAM J. Appl. Math. , vol.39 , Issue.3 , pp. 528-548
    • Keener, J.P.1
  • 15
    • 0000395749 scopus 로고
    • Chaotic behavior of current oscillations during iron electrodissolution in sulfuric acid
    • Kleinke, M. U. [1995] "Chaotic behavior of current oscillations during iron electrodissolution in sulfuric acid," J. Phys. Chem. 99(48), 17403-17409.
    • (1995) J. Phys. Chem. , vol.99 , Issue.48 , pp. 17403-17409
    • Kleinke, M.U.1
  • 16
    • 0002766350 scopus 로고
    • Electrochemical oscillators: Their description through a mathematical model
    • Koper, M. T. M. & Sluyters, J. H. [1991] "Electrochemical oscillators: Their description through a mathematical model," J. Electroanal. Chem. 303, 73-94.
    • (1991) J. Electroanal. Chem. , vol.303 , pp. 73-94
    • Koper, M.T.M.1    Sluyters, J.H.2
  • 17
    • 43949171060 scopus 로고
    • A mathematical model for current oscillations at the active-passive transition in metal electrodissolution
    • Koper, M. T. M. & Sluyters, J. H. [1993a] "A mathematical model for current oscillations at the active-passive transition in metal electrodissolution," J. Electroanal. Chem. 347, 31-48.
    • (1993) J. Electroanal. Chem. , vol.347 , pp. 31-48
    • Koper, M.T.M.1    Sluyters, J.H.2
  • 18
    • 0000586009 scopus 로고
    • A simplified approach to the modeling of wave propagation at electrode/electrolyte interfaces
    • Koper, M. T. M. & Sluyters, J. H. [1993b] "A simplified approach to the modeling of wave propagation at electrode/electrolyte interfaces," Electrochim. Acta 38(11), 1535-1544.
    • (1993) Electrochim. Acta , vol.38 , Issue.11 , pp. 1535-1544
    • Koper, M.T.M.1    Sluyters, J.H.2
  • 19
    • 53349109499 scopus 로고    scopus 로고
    • Oscillations and complex dynamical bifurcations in electrochemical systems
    • eds. Progogine, I. & Rice, S. A., John Wiley, NY
    • Koper, M. T. M. [1996] "Oscillations and complex dynamical bifurcations in electrochemical systems," in Advances in Chemical Physics, eds. Progogine, I. & Rice, S. A., Vol. XCII (John Wiley, NY), pp. 161-298.
    • (1996) Advances in Chemical Physics , vol.92 , pp. 161-298
    • Koper, M.T.M.1
  • 21
    • 0024665023 scopus 로고
    • Stabilization of unstable states in the bistable iodatearsenous acid reaction in a continuous flow stirred tank reactor
    • Laplante, J. P. [1989] "Stabilization of unstable states in the bistable iodatearsenous acid reaction in a continuous flow stirred tank reactor," J. Phys. Chem. 93(10), 3882-3885.
    • (1989) J. Phys. Chem. , vol.93 , Issue.10 , pp. 3882-3885
    • Laplante, J.P.1
  • 22
    • 0007426356 scopus 로고
    • Determination of bifurcation in chemical systems. An experimental methods
    • Masełko, J. [1982] "Determination of bifurcation in chemical systems. An experimental methods," Chem. Phys. 67, 17-26.
    • (1982) Chem. Phys. , vol.67 , pp. 17-26
    • Masełko, J.1
  • 23
    • 0001668331 scopus 로고    scopus 로고
    • Synchronization and pattern formation in electrochemical oscillators: Model calculations
    • Mazouz, N., Krischer, K., Flätgen, G. & Ertl, C. [1997] "Synchronization and pattern formation in electrochemical oscillators: Model calculations," J. Phys. Chem. B101(14), 2403-2410.
    • (1997) J. Phys. Chem. , vol.B101 , Issue.14 , pp. 2403-2410
    • Mazouz, N.1    Krischer, K.2    Flätgen, G.3    Ertl, C.4
  • 24
    • 0032123062 scopus 로고    scopus 로고
    • The impact of operation mode on pattern formation in electrode reactions
    • Mazouz, N., Flätgen, G., Krischer, K. & Kevrekidis, I. G. [1998] "The impact of operation mode on pattern formation in electrode reactions," J. Electrochem. Soc. 145(7), 2404-2411.
    • (1998) J. Electrochem. Soc. , vol.145 , Issue.7 , pp. 2404-2411
    • Mazouz, N.1    Flätgen, G.2    Krischer, K.3    Kevrekidis, I.G.4
  • 25
    • 0001394770 scopus 로고
    • Interrupted separatrix excitability in a chemical system
    • McCormick, W. D., Noszticzius, Z. & Swinney, H. L. [1991] "Interrupted separatrix excitability in a chemical system," J. Chem. Phys. 94(3), 2159-2167.
    • (1991) J. Chem. Phys. , vol.94 , Issue.3 , pp. 2159-2167
    • McCormick, W.D.1    Noszticzius, Z.2    Swinney, H.L.3
  • 26
    • 0000122716 scopus 로고
    • Model for spiral wave formation in excitable media
    • Meron, E. & Pelcé, P. [1988] "Model for spiral wave formation in excitable media," Phys. Rev. Lett. 60 (18), 1880-1883.
    • (1988) Phys. Rev. Lett. , vol.60 , Issue.18 , pp. 1880-1883
    • Meron, E.1    Pelcé, P.2
  • 28
    • 0030189170 scopus 로고    scopus 로고
    • Nonlinear iron electrochemical oscillator: Coupling and photo effects
    • Nakabayashi, S., Zama, K. & Uosaki, K. [1996] "Nonlinear iron electrochemical oscillator: Coupling and photo effects," J. Electrochem. Soc. 143(7), 2258-2262.
    • (1996) J. Electrochem. Soc. , vol.143 , Issue.7 , pp. 2258-2262
    • Nakabayashi, S.1    Zama, K.2    Uosaki, K.3
  • 29
    • 0032495955 scopus 로고    scopus 로고
    • Spatiotemporal propagation of a non-linear electrochemical reaction over an iron electrode
    • Nakabayashi, S., Baba, R. & Shiomi, Y. [1998] "Spatiotemporal propagation of a non-linear electrochemical reaction over an iron electrode," Chem. Phys. Lett. 287, 632-638.
    • (1998) Chem. Phys. Lett. , vol.287 , pp. 632-638
    • Nakabayashi, S.1    Baba, R.2    Shiomi, Y.3
  • 30
    • 36549102109 scopus 로고
    • Bifurcation from excitability to limit cycle oscillations at the end of the induction period in the classical Belousov-Zhabotinsky reaction
    • Noszticzius, Z., Wittmann, M. & Stirling, P. [1987] "Bifurcation from excitability to limit cycle oscillations at the end of the induction period in the classical Belousov-Zhabotinsky reaction," J. Chem. Phys. 86(4), 1922-1926.
    • (1987) J. Chem. Phys. , vol.86 , Issue.4 , pp. 1922-1926
    • Noszticzius, Z.1    Wittmann, M.2    Stirling, P.3
  • 31
    • 0001491949 scopus 로고    scopus 로고
    • Stabilization of unstable steady states and periodic orbits in an electrochemical system using delayed-feedback control
    • Parmanada, P., Madrigal, R., Rivera, M., Nyikos, L., Kiss, I. Z. & Gáspár, V. [1999] "Stabilization of unstable steady states and periodic orbits in an electrochemical system using delayed-feedback control," Phys. Rev. E59(5), 5266-5271.
    • (1999) Phys. Rev. , vol.E59 , Issue.5 , pp. 5266-5271
    • Parmanada, P.1    Madrigal, R.2    Rivera, M.3    Nyikos, L.4    Kiss, I.Z.5    Gáspár, V.6
  • 32
    • 0018504491 scopus 로고
    • The potentiostatic current oscillations at iron/sulfuric acid solution interfaces
    • Podestá, J. J., Piatti, R. C. V. & Arvía, A. J. [1979] "The potentiostatic current oscillations at iron/sulfuric acid solution interfaces," J. Electrochem. Soc. 126(8), 1363-1367.
    • (1979) J. Electrochem. Soc. , vol.126 , Issue.8 , pp. 1363-1367
    • Podestá, J.J.1    Piatti, R.C.V.2    Arvía, A.J.3
  • 33
    • 0020720659 scopus 로고
    • Experimental determination of the passive-active transition for iron in 1M sulfuric acid
    • Russell, Ph. P. & Newman, J. [1983] "Experimental determination of the passive-active transition for iron in 1M sulfuric acid," J. Electrochem. Soc. 130(3), 547-553.
    • (1983) J. Electrochem. Soc. , vol.130 , Issue.3 , pp. 547-553
    • Russell, Ph.P.1    Newman, J.2
  • 34
    • 0022799962 scopus 로고
    • Current oscillations observed within the limiting current plateau for iron in sulfuric acid
    • Russell, Ph. & Newman, J. [1986] "Current oscillations observed within the limiting current plateau for iron in sulfuric acid," J. Electrochem. Soc. 133(10), 2093-2097.
    • (1986) J. Electrochem. Soc. , vol.133 , Issue.10 , pp. 2093-2097
    • Russell, Ph.1    Newman, J.2
  • 35
    • 0023345153 scopus 로고
    • Anodic dissolution of iron in acidic sulfate electrolytes. II. Mathematical model of current oscillations observed under potentiostatic conditions
    • Russell, Ph. & Newman, J. [1987] "Anodic dissolution of iron in acidic sulfate electrolytes. II. Mathematical model of current oscillations observed under potentiostatic conditions," J. Electrochem. Soc. 134(5), 1051-1059.
    • (1987) J. Electrochem. Soc. , vol.134 , Issue.5 , pp. 1051-1059
    • Russell, Ph.1    Newman, J.2
  • 36
    • 21344494331 scopus 로고
    • Generalized Hopf, saddle-node infinite period bifurcations and excitability during the electrodissolution and passivation of iron in a sulfuric acid solution
    • Sazou, D., Karantonis, A. & Pagitsas, M. [1993] "Generalized Hopf, saddle-node infinite period bifurcations and excitability during the electrodissolution and passivation of iron in a sulfuric acid solution," Int. J. Bifurcation and Chaos 3(4), 981-997.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.4 , pp. 981-997
    • Sazou, D.1    Karantonis, A.2    Pagitsas, M.3
  • 37
    • 0028404267 scopus 로고
    • The nature of the potentiostatic current oscillations at iron/sulfuric acid solution interfaces
    • Wang, C., Chen, S. & Yu, X. [1993] "The nature of the potentiostatic current oscillations at iron/sulfuric acid solution interfaces," Electrochim. Acta 39(4), 577-580.
    • (1993) Electrochim. Acta , vol.39 , Issue.4 , pp. 577-580
    • Wang, C.1    Chen, S.2    Yu, X.3
  • 38
    • 0017504385 scopus 로고
    • Iron oxide semiconductor electrode in photoassisted electrolysis of water
    • Yeh, L.-S.R. & Hackerman, N. [1977] "Iron oxide semiconductor electrode in photoassisted electrolysis of water," J. Electrochem. Soc. 124(6), 823-832.
    • (1977) J. Electrochem. Soc. , vol.124 , Issue.6 , pp. 823-832
    • Yeh, L.-S.R.1    Hackerman, N.2


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