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Volumn 12, Issue 5, 2001, Pages 903-918

Stabilization of chaotic behavior in a two-phase autocatalytic reactor

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CATALYST ACTIVITY; CHAOS THEORY;

EID: 0035123840     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00054-0     Document Type: Article
Times cited : (8)

References (45)
  • 2
    • 2742595854 scopus 로고    scopus 로고
    • On the practical relevance of bifurcation and chaos in chemical and biochemical reaction engineering
    • Elnashaie S.S.E.H., Abasaeed A.E., Ibrahim G. On the practical relevance of bifurcation and chaos in chemical and biochemical reaction engineering. Fractals. 5:1997;549.
    • (1997) Fractals , vol.5 , pp. 549
    • Elnashaie, S.S.E.H.1    Abasaeed, A.E.2    Ibrahim, G.3
  • 3
    • 0026941956 scopus 로고
    • The dynamic behavior of continuous polymerization reactors. VI Complex dynamics in full scale reactors
    • Teymour F., Ray W.H. The dynamic behavior of continuous polymerization reactors. VI Complex dynamics in full scale reactors. Chem Eng Sci. 47:1992;4133.
    • (1992) Chem Eng Sci , vol.47 , pp. 4133
    • Teymour, F.1    Ray, W.H.2
  • 4
    • 0343689830 scopus 로고
    • The dynamic behavior of fluidized bed reactors for solid catalysed gas phase olefin polymerization
    • Choi K.Y., Ray W.H. The dynamic behavior of fluidized bed reactors for solid catalysed gas phase olefin polymerization. Chem Eng Sci. 41:1990;2261.
    • (1990) Chem Eng Sci , vol.41 , pp. 2261
    • Choi, K.Y.1    Ray, W.H.2
  • 5
    • 0025093677 scopus 로고
    • Digital simulation of industrial fluid catalytic cracking unit I. Bifurcation and its implications
    • Elshishini S.S., Elnashaie S.S.E.H. Digital simulation of industrial fluid catalytic cracking unit I. Bifurcation and its implications. Chem Eng Sci. 45:1990;553.
    • (1990) Chem Eng Sci , vol.45 , pp. 553
    • Elshishini, S.S.1    Elnashaie, S.S.E.H.2
  • 7
    • 0000335098 scopus 로고
    • Digital simulation of industrial fluid catalytic cracking units V. Static and dynamic bifurcation
    • Elnashaie S.S.E.H., Abasaeed A.E., Elshishini S.S. Digital simulation of industrial fluid catalytic cracking units V. Static and dynamic bifurcation. Chem Eng Sci. 50:1995;1635.
    • (1995) Chem Eng Sci , vol.50 , pp. 1635
    • Elnashaie, S.S.E.H.1    Abasaeed, A.E.2    Elshishini, S.S.3
  • 11
    • 0025543624 scopus 로고
    • Comparison of multiplicity patterns of a single catalytic pellet and a fixed catalytic bed for ethylene oxidation
    • Scheintuch M., Adaje J. Comparison of multiplicity patterns of a single catalytic pellet and a fixed catalytic bed for ethylene oxidation. Chem Eng Sci. 45:1990;1897.
    • (1990) Chem Eng Sci , vol.45 , pp. 1897
    • Scheintuch, M.1    Adaje, J.2
  • 12
    • 0025594383 scopus 로고
    • The use of mathematical modeling to investigate the effect of chemisorption on the dynamic behavior of catalytic reactors. Partial oxidation of o-xylene in fluidized beds
    • Elnashaie S.S., Fouad M.M.K., Elshishini S.S. The use of mathematical modeling to investigate the effect of chemisorption on the dynamic behavior of catalytic reactors. Partial oxidation of o-xylene in fluidized beds. Math Comput Modell. 13:1990;11.
    • (1990) Math Comput Modell , vol.13 , pp. 11
    • Elnashaie, S.S.1    Fouad, M.M.K.2    Elshishini, S.S.3
  • 13
    • 0002374059 scopus 로고
    • The use of mathematical and computer models to explore the applicability of fluidized bed technology for highly exothermic reactions II. Oxidative dehydrogenation of ethylbenzene to styrene
    • Elnashaie S.S.E.H., Wagialla K.M., Helal A.M. The use of mathematical and computer models to explore the applicability of fluidized bed technology for highly exothermic reactions II. Oxidative dehydrogenation of ethylbenzene to styrene. Math Comput Modell. 15:1991;43.
    • (1991) Math Comput Modell , vol.15 , pp. 43
    • Elnashaie, S.S.E.H.1    Wagialla, K.M.2    Helal, A.M.3
  • 14
    • 0042608839 scopus 로고
    • Periodic and chaotic behavior of substrate-inhibited enzymatic reactions with hydrogen ions production
    • Ibrahim G., Teymour F.A., Elnashaie S.S.E.H. Periodic and chaotic behavior of substrate-inhibited enzymatic reactions with hydrogen ions production. Appl Biochem Biotech. 55:1995;175.
    • (1995) Appl Biochem Biotech , vol.55 , pp. 175
    • Ibrahim, G.1    Teymour, F.A.2    Elnashaie, S.S.E.H.3
  • 16
    • 0022882969 scopus 로고
    • The influence of reaction orders and of changes on the total number of moles on the conversion in a periodically operated CSTR
    • Hoffman U., Schadlich H.K. The influence of reaction orders and of changes on the total number of moles on the conversion in a periodically operated CSTR. Chem Eng Sci. 41:1986;2733.
    • (1986) Chem Eng Sci , vol.41 , pp. 2733
    • Hoffman, U.1    Schadlich, H.K.2
  • 17
    • 0022874212 scopus 로고
    • Activity and selectivity control through period composition forcing over Fischer-Tropsh catalysts
    • Silveston P.L., Hudgins R.R., Adesina A.A., Ross G.S., Feimer J.L. Activity and selectivity control through period composition forcing over Fischer-Tropsh catalysts. Chem Eng Sci. 41:1986;923.
    • (1986) Chem Eng Sci , vol.41 , pp. 923
    • Silveston, P.L.1    Hudgins, R.R.2    Adesina, A.A.3    Ross, G.S.4    Feimer, J.L.5
  • 18
    • 0020607165 scopus 로고
    • Autocatalytic reactions in the isothermal, continuous stirred tank reactor. Isola and other forms of multiplicity
    • Gray P., Scott S.K. Autocatalytic reactions in the isothermal, continuous stirred tank reactor. Isola and other forms of multiplicity. Chem Eng Sci. 38:1983;29.
    • (1983) Chem Eng Sci , vol.38 , pp. 29
    • Gray, P.1    Scott, S.K.2
  • 19
    • 0021310291 scopus 로고
    • Autocatalytic reactions in the isothermal, continuous stirred tank reactor. Oscillations and instabilities in the system A+2B→3B;B→C
    • Gray P., Scott S.K. Autocatalytic reactions in the isothermal, continuous stirred tank reactor. Oscillations and instabilities in the system. A+2B→3B;B→C Chem Eng Sci. 39:1984;1087.
    • (1984) Chem Eng Sci , vol.39 , pp. 1087
    • Gray, P.1    Scott, S.K.2
  • 20
    • 0343689820 scopus 로고
    • Archetypal response patterns of open chemical systems with two components
    • Gray P., Scott S.K. Archetypal response patterns of open chemical systems with two components. Philos Trans Sci. A332:1990;69.
    • (1990) Philos Trans Sci , vol.332 , pp. 69
    • Gray, P.1    Scott, S.K.2
  • 21
    • 0010525394 scopus 로고
    • Period doubling and other complex bifurcations in nonisothermal chemical systems
    • Scott S.K., Tomlin A.S. Period doubling and other complex bifurcations in nonisothermal chemical systems. Philos Trans R Soc London. A332:1990;51.
    • (1990) Philos Trans R Soc London , vol.332 , pp. 51
    • Scott, S.K.1    Tomlin, A.S.2
  • 22
    • 33751552866 scopus 로고
    • Period doubling and chaos in a three-variable autocatalotor
    • Peng B., Scott S.K., Showalter K. Period doubling and chaos in a three-variable autocatalotor. J Phys Chem. 94:1990;5243.
    • (1990) J Phys Chem , vol.94 , pp. 5243
    • Peng, B.1    Scott, S.K.2    Showalter, K.3
  • 24
    • 0343254144 scopus 로고
    • Mathematical analysis of the orgenator model of the Belousov-Zhabotinskii reaction
    • R.J. Field, & M. Burger. New York: Wiley
    • Troy W.C. Mathematical analysis of the orgenator model of the Belousov-Zhabotinskii reaction. Field R.J., Burger M. Oscillations and traveling waves in chemical systems. 1985;Wiley, New York.
    • (1985) Oscillations and Traveling Waves in Chemical Systems
    • Troy, W.C.1
  • 26
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz E.N. Deterministic nonperiodic flow. J Atoms Sci. 20:1963;130.
    • (1963) J Atoms Sci , vol.20 , pp. 130
    • Lorenz, E.N.1
  • 27
    • 0000601493 scopus 로고
    • Using small perturbations to control chaos
    • Shinbrot T., Grebogi C., Ott E., Yorke J.A. Using small perturbations to control chaos. Nature. 363:1993;411.
    • (1993) Nature , vol.363 , pp. 411
    • Shinbrot, T.1    Grebogi, C.2    Ott, E.3    Yorke, J.A.4
  • 28
    • 0000009656 scopus 로고
    • Synchronization of coupled maps and stable windows
    • Shinbrot T. Synchronization of coupled maps and stable windows. Phys Rev E. 50:1994;3230.
    • (1994) Phys Rev e , vol.50 , pp. 3230
    • Shinbrot, T.1
  • 29
    • 0039497923 scopus 로고
    • Control of a system with a strange attractor through periodic parameter action
    • Alekseev V.V., Loskutov A.Y. Control of a system with a strange attractor through periodic parameter action. Sov Phys Dokl. 32:1987;1346.
    • (1987) Sov Phys Dokl , vol.32 , pp. 1346
    • Alekseev, V.V.1    Loskutov, A.Y.2
  • 30
    • 9644266471 scopus 로고
    • Suppression of chaos by resonant parametric perturbations
    • Lima R., Pettini M. Suppression of chaos by resonant parametric perturbations. Phys Rev Lett A. 41:1990;726.
    • (1990) Phys Rev Lett a , vol.41 , pp. 726
    • Lima, R.1    Pettini, M.2
  • 31
    • 0026734825 scopus 로고
    • Suppression of chaos by periodic oscillation in a model for cyclic AMP signaling in dictyostelium cells
    • Li Y.X., Halloy J., Martiel J.L., Wurster B., Goldbeter A. Suppression of chaos by periodic oscillation in a model for cyclic AMP signaling in dictyostelium cells. Experientia. 48:1992;603.
    • (1992) Experientia , vol.48 , pp. 603
    • Li, Y.X.1    Halloy, J.2    Martiel, J.L.3    Wurster, B.4    Goldbeter, A.5
  • 32
    • 0030295164 scopus 로고    scopus 로고
    • Controlling chaos by periodic perturbations in nonisothermal fluidized-bed reactor
    • Ajbar A., Elnashaie S.S.E.H. Controlling chaos by periodic perturbations in nonisothermal fluidized-bed reactor. AIChE J. 42:1996;3008.
    • (1996) AIChE J , vol.42 , pp. 3008
    • Ajbar, A.1    Elnashaie, S.S.E.H.2
  • 33
    • 0021575501 scopus 로고
    • Oscillatory and chaotic behaviour of a forced exothermic chemical reaction
    • Mankin J.C., Hudson J.L. Oscillatory and chaotic behaviour of a forced exothermic chemical reaction. Chem Eng Sci. 39:1984;1807.
    • (1984) Chem Eng Sci , vol.39 , pp. 1807
    • Mankin, J.C.1    Hudson, J.L.2
  • 34
    • 0022582309 scopus 로고
    • Some common features of periodically forced reacting systems
    • Kevrekidis I.G., Schmidt L.D., Aris R. Some common features of periodically forced reacting systems. Chem Eng Sci. 41:1986;1263.
    • (1986) Chem Eng Sci , vol.41 , pp. 1263
    • Kevrekidis, I.G.1    Schmidt, L.D.2    Aris, R.3
  • 35
    • 0025643717 scopus 로고
    • Forced oscillations of chemical reactors with multiple steady-states
    • Cordonier G.A., Schmidt L.D., Aris R. Forced oscillations of chemical reactors with multiple steady-states. Chem Eng Sci. 45:1990;1659.
    • (1990) Chem Eng Sci , vol.45 , pp. 1659
    • Cordonier, G.A.1    Schmidt, L.D.2    Aris, R.3
  • 36
    • 0013636160 scopus 로고
    • Intermittency route to chaos in a periodically forced model reaction system
    • Tambe S.S., Kulkarni B.D. Intermittency route to chaos in a periodically forced model reaction system. Chem Eng Sci. 48:1993;2817.
    • (1993) Chem Eng Sci , vol.48 , pp. 2817
    • Tambe, S.S.1    Kulkarni, B.D.2
  • 37
    • 0028486397 scopus 로고
    • Chaotic behavior of periodically forced fluidized bed catalytic reactors with consecutive exothermic reactions
    • Elnashaie S.S.E.H., Absahar M.E. Chaotic behavior of periodically forced fluidized bed catalytic reactors with consecutive exothermic reactions. Chem Eng Sci. 49:1994;2483.
    • (1994) Chem Eng Sci , vol.49 , pp. 2483
    • Elnashaie, S.S.E.H.1    Absahar, M.E.2
  • 38
    • 0031375443 scopus 로고    scopus 로고
    • The effect of external disturbances on the performances and chaotic behavior of industrial FCC units
    • Abasaeed A.E., Elnashaie S.S.E.H. The effect of external disturbances on the performances and chaotic behavior of industrial FCC units. Chaos, Solitons & Fractals. 8:1997;1941.
    • (1997) Chaos, Solitons & Fractals , vol.8 , pp. 1941
    • Abasaeed, A.E.1    Elnashaie, S.S.E.H.2
  • 39
    • 0031078205 scopus 로고    scopus 로고
    • Effect of control loop configuration on the bifurcation behavior and gasoline yield of industrial fluid catalytic cracking (FCC) units
    • Alhumaizai K., Elnashaie S.S.E.H. Effect of control loop configuration on the bifurcation behavior and gasoline yield of industrial fluid catalytic cracking (FCC) units. Math Comput Modell. 25:1997;37.
    • (1997) Math Comput Modell , vol.25 , pp. 37
    • Alhumaizai, K.1    Elnashaie, S.S.E.H.2
  • 40
    • 0032027730 scopus 로고    scopus 로고
    • On the chaotic behavior of externally forced industrial fluid catalytic cracking units
    • Abasaeed A.E., Elnashaie S.S.E.H. On the chaotic behavior of externally forced industrial fluid catalytic cracking units. Chaos, Solitons & Fractals. 9:1998;455.
    • (1998) Chaos, Solitons & Fractals , vol.9 , pp. 455
    • Abasaeed, A.E.1    Elnashaie, S.S.E.H.2
  • 43
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf A., Swift J.B., Swinney H.L., Vastano J.A. Determining Lyapunov exponents from a time series. Physica. 16D:1985;285.
    • (1985) Physica , vol.16 , pp. 285
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 44
    • 34250254669 scopus 로고
    • Intermittent transition to turbulence in dissipative dynamical systems
    • Pomeau Y., Manneville P. Intermittent transition to turbulence in dissipative dynamical systems. Commun Math Phys. 74:1980;189.
    • (1980) Commun Math Phys , vol.74 , pp. 189
    • Pomeau, Y.1    Manneville, P.2
  • 45
    • 2542489888 scopus 로고
    • Response of nonlinear oscillations to forced oscillations: Three chemical reaction systems
    • McKarnin M.A., Schmidt L.D., Aris R. Response of nonlinear oscillations to forced oscillations: three chemical reaction systems. Chem Eng Sci. 43:1988;2833.
    • (1988) Chem Eng Sci , vol.43 , pp. 2833
    • McKarnin, M.A.1    Schmidt, L.D.2    Aris, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.