Написати автору Контроль бістабільності, осциляцій та хаосу в модельному електрокаталітичному процесі на поверхні сферичного електроду
Анотація
Повний текст:
Посилання
Hudson J.L., Tsotsis T.T. Electrochemical Reaction Dynamics. Review // Chem. Eng. Sci. – 1994. – V. 49. – P. 1493–1572.
Krischer K. Spontaneous formation of spatiotemporal patterns at the electrode | electrolyte interface. Review // J. Electroanal. Chem. - 2001. - V. 501. - P. 1–21.
Eskhult J., Ulrich C., Björefors F., Nyholm L. Current oscillation during chronoamperometric and cyclic voltammetric measurements in alkaline Cu(II)-citrate solutions // Electrochim. Acta. – 2008. – V. 53. – P. 2188–2197.
Chen S., Lee D., Schell M. Enhancement of the electrochemical oxidation of formic acid. Effects of anion adsorption and variation of rotation rate // Electrochim. Acta. – 2001. – V. 46. – P. 3481–3492.
Punckt C., Stich M., Beta C., Rotermund H. Suppression of spatiotemporal chaos in the oscillatory CO oxidation on Pt(110) by focused laser light // Phys. Rev. E. – 2008. – V. 77. – P. 046222–046234.
Morschl R., Bolten J., Bonnefont A., Krischer K. Pattern formation during CO electrooxidation on Thin Pt films studied with spatially resolved infrared absorption spectroscopy // J. Phys. Chem. C. – 2008. – V. 112. – P. 9548–9551.
Malkhandi S., Bonnefont A., Krischer K. Dynamic instabilities during the continuous electro-oxidation of CO on poly- and single crystalline Pt electrodes // Surf. Sci. – 2009. – V. 603, N 10–12. – P. 1646–1651.
Christoph J., Noh T.-G., Lee J. et al. Spatiotemporal self-organization in the oscillatory HCOOH oxidation on a Pt ribbon electrode – theory and experiments // Surf. Sci. – 2009. – V. 603, N 10–12. – P. 1652–1661.
Kiss I.Z., Munjal N., Martin R.S. Synchronized current oscillations of formic acid electro-oxidation in a microchip-based dual-electrode flow cell // Electrochim. Acta. – 2009. – V. 55. – P. 395–403.
Swamy B.E.K., Vannoy C., Maye J. et al. Potential oscillations in formic acid oxidation in electrolyte mixtures: Efficiency and stability // J. Electroanal. Chem. – 2009. – V. 625. – P. 69–74.
Mota A., Lopes P.P., Ticianelli E.A. et al. Complex oscillatory response of a PEM fuel cell fed with H2/CO and oxygen // J. Electrochem. Soc. – 2010. – V. 157, N 9. – P. B1301–B1304.
Garcia-Morales V., Krischer K. Fluctuation enhanced electrochemical reaction rates at the nanoscale // PNAS. – 2010. – V. 107, N 10. – P. 4528–4532.
Mazouz N., Krischer K. A theoretical study on Turing patterns in electrochemical systems // J. Phys. Chem. B. – 2000. – V. 104, N 25. – P. 6081–6090.
Li Y.J., Oslonovitch J., Mazouz N. et al. Turing-type patterns on electrode surfaces // Science. – 2001. – V. 291. – P 2395–2398.
Shinbrot T., Grebogi C., Ott E., Yorke J.A. Using small perturbations to chaos. Review // Nature. – 1993. – V. 363. – P. 411–417.
Ditto W.L, Miliotis A., Murali K. et al. Chaogates: Morphing logic gates that exploit dynamical patterns // Chaos. – 2010. – V. 20. – P. 037107–037114.
Eiswirth M., Krischer K., Ertl G. Transition to chaos in an oscillating surface reaction // Surf. Sci. – 1988. – V. 202, N 3. – P. 565–591.
Bassett M.R., Hudson J.L. Experimental evidence of period doubling of tori during an electrochemical reaction // Physica D. – 1989. – V. 35, N 3. – P. 289–298.
Albahadily F.N., Schell M. Observation of several different temporal patterns in the oxidation of formic acid at a rotating platinum-disk electrode in an acidic medium // J. Electroanal. Chem. Interfacial Electrochem. – 1991. – V. 308, N 1–2. – P. 151–173.
Argoul F., Huth J., Merzeau P. et al. Experimental evidence for homoclinic chaos in an electrochemical growth process // Physica D. – 1993. – V. 62, N 1–4. – P. 170–185.
Green B.J., Wang W., Hudson J.L. Chaos and spatiotemporal pattern formation in electrochemical reactions. Review // Forma. – 2000. – V. 15. – P. 257–265.
Parkhutik V. Chaos-order transitions at corroding silicon surface // Mater. Sci. Eng. B. – 2002. – V. 88. – P. 269–276.
Siegmeier J., Baba N., Krischer K. Bistability and oscillations during electrooxidation of H2-CO mixtures on Pt: Modeling and bifurcation analysis // J. Phys. Chem. C. – 2007. – V. 111. – P. 13481–13489.
Birzu A., Krischer K. Confined Spatio-temporal chaos during metal electrodissolution: simulations // Zeitschrift fur Physikalische Chemie. – 2007. – V. 221. – P. 1245–1254.
Baba N., Krischer K. Mixed-mode oscillations and cluster patterns in an electrochemical relaxation oscillator under galvanostatic control // Chaos. – 2008. – V. 18. – P. (015103) 1–4.
Noh T. Shil'nikov chaos in the oxidation of formic acid with bismuth ion on Pt ring electrode // Electrochim. Acta. – 2009. – V. 54. – P. 3657–3661.
Lashina E.A., Chumakova N.A, Chumakov G.A., Boronin A.I. Chaotic dynamics in the three-variable kinetic model of CO oxidation on platinum group metals // Chem. Eng. J. – 2010. – V. 154, N 1–3. – P. 82–87.
Massoudi A., Mahjani M.G., Jafarian M. Multiple attractors in Koper–Gaspard model of electrochemical periodic and chaotic oscillations // J. Electroanal. Chem. – 2010. – V. 647, N 1. – P. 74–86.
Sadeghi S., Thompson M. Towards information processing from nonlinear physical chemistry: A synthetic electrochemical cognitive system // Biosystems. – 2010. – V. 102, N 2–3. – P. 99–111.
Moskalenko O.I., Koronovskii A.A., Hramov A.E. Generalized synchronization of chaos for secure communication: Remarkable stability to noise // Phys. Lett. A. – 2010. – V. 374, N 29. – P. 2925–2931.
Purwins H.-G., Bodeker H.U., Amiranashvili S. Dissipative solitons // Adv. Phys. – 2010. – V. 59, N 5. – P.485–701
Koper M.T.M., Sluyters J.H. Instabilities and oscillations in simple models of electrocatalytic surface reactions // J. Electroanal. Chem. – 1994. – V. 371. – P. 149–159.
Koper M.T.M. Stability study and categorization of electrochemical oscillations by impedance spectroscopy // J. Electroanal. Chem. – 1996. – V. 409. – P. 175–182.
Koper M.T.M. Non-linear phenomena in electrochemical systems // J. Chem. Soc. Faraday Trans. – 1998. – V. 94, N 10. – P. 1369–1378.
Pototskaya V.V., Gichan O.I., Omelchuk А.А. Influence of kinetic parameters of a preceding chemical reaction on appearance of instability in an electrochemical system with electrocatalytic oxidation // Dopovidi NANU. – 2011. – N 2. – P. 130–136 (in Russian).
Pototskaya V.V., Gichan O.I. Dynamic instabilities of a model electrochemical system with electrochemical oxidation and preceding chemical reaction // Rus. J. Electrochem. – 2011. – V. 47. – P. 336–344.
Pototskaya V.V., Gichan O.I., Omel'chuk A.A. Predicting the onset of spontaneous oscillations using impedance method // JCAAM. – 2011. – V. 9, N 1. – P. 68–75.
Pototskaya V.V., Gichan O.I., Omel'chuk A.A. Effect of preceding chemical reaction rate on dynamical instability in an electrochemical system // Oscillations and pattern formation in electrochemistry: Proc. 218th Electrochemical Society Meeting (10–15 Oct. 2010, Las Vegas, USA). – Abstr. 2238.
Pototskaya V.V., Gichan O.I., Omel'chuk A.A. Impedance analysis of model electrocatalytic process with Frumkin adsorption isotherm occurring on spherical and flat electrodes // Electrochemical technologies and materials for XXI century: Proc. 9th International Frumkin Symposium (24–29 Oct. 2010, Moscow). – P. 45.
Gerischer H. Wechselstrom polarisation von Elektroden mit einem potentialbestimmenden Schritt beim Gleichgewichtspotential // Zeitschrift fur Physikalische Chemie. – 1951. – Bd. 198. – S. 286–314.
Frumkin A.N. Die Kapillarkurve der hoheren Fettsauren und die Zustandsgleichung der Oberflachenschicht // Zeitschrift fur Physikalische Chemie. – 1925. – Bd. 116. – S. 466–473.
Damaskin B.B., Safonov V.А., Baturina О.А. Statistical method of determining adsorption parameters for simple organic compounds from nonequilibrium differential capacitance // Rus. J. Electrochem. – 1997. – V. 33. – P. 105–115.
Damaskin B.B., Safov V.А. Regression analysis of electrocapillary curves in ethylforate solutions // Rus. J. Electrochem. – 2005. – V. 41. – P. 253–262.
Naito M., Tanaka N., Okamoto H. General relation between complex impedance and linear stability in electrochemical systems // J. Chem. Phys. – 1999. – V. 111. – P. 9908–9917.
Berthier F., Diard J.-P, Montella C. Hopf bifurcation and sign of the transfer resistance // Electrochim. Acta. – 1999. – V. 44. – P. 2397–2404.
Pototskaya V.V., Gichan O.I., Omel'chuk А.А., Volkov S.V. Specific features of the behavior of an electrochemical system in the case of the Hopf instability for a spherical electrode // Rus. J. Electrochem. – 2008. – V. 44. – P. 594–601.
Pototskaya V.V., Gichan O.I. Electrode geometry and Hopf instability // Rus. J. Electrochem. – 2010. – V. 46. – P. 494–500.
Pototskaya V.V., Gichan O.I., Omel'chuk A.A. Unstable states at interfaces of spherical geometry // Ukr. Fiz. Zh. – 2010. – V. 55, N 7. – P. 836–840.
Berthier F., Diard J.-P., Nugues S. On the nature of the spontaneous oscillations observed for the Koper-Sluyters electrocatalytic reaction // J. Electroanal. Chem. – 1997. – V. 436. – P. 35–42.
Gavrilov N.K., Shilnikov L.P. Three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve // Mathematics of the USSR-Sbornik. – 1973. – V. 19. – P. 139–156.
Turaev D. On dimension of non-local bifurcational problems // Int. J. Bifurcation and Chaos. – 1996. – V. 6. – P. 123–156.
McCullen N.J., Moresco P. Route to hyperchaos in a system of coupled oscillators with multistability // Phys. Rev. E. – 2011. – V. 83. – P. (046212)1–9.
Wolfram S. Mathematic: a system for doing mathematics by computer. – Redwood City: Addison Wesley, 1988. – 749 p.
Copyright (©) 2011 O. I. Gichan
This work is licensed under a Creative Commons Attribution 4.0 International License.