메뉴 건너뛰기




Volumn 8, Issue 12, 1997, Pages 1977-2007

Hyperchaos in acetylcholinesterase enzyme systems

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; MATHEMATICAL MODELS;

EID: 0031367591     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(96)00141-5     Document Type: Article
Times cited : (14)

References (45)
  • 1
    • 0042608841 scopus 로고
    • Homoclinic hyperchaos - An explicit example
    • Rossler, O. E., Hudsun, J. L. and Rossler, R., Homoclinic hyperchaos - an explicit example. Phys. D, 1993, 62, 80-86.
    • (1993) Phys. D , vol.62 , pp. 80-86
    • Rossler, O.E.1    Hudsun, J.L.2    Rossler, R.3
  • 2
    • 51249181269 scopus 로고
    • The effect of hydrogen ions production on the steady state multiplicity of substrate-inhibited enzymatic reactions: I. Steady-state consideration
    • Elnashaie, S. S. E. H., Ibrahim, G. and El-Rifaie, M. A., The effect of hydrogen ions production on the steady state multiplicity of substrate-inhibited enzymatic reactions: I. Steady-state consideration. Appl. Biochem. Biotech., 1983, 8, 275-288.
    • (1983) Appl. Biochem. Biotech. , vol.8 , pp. 275-288
    • Elnashaie, S.S.E.H.1    Ibrahim, G.2    El-Rifaie, M.A.3
  • 3
    • 0020875641 scopus 로고
    • The effect of hydrogen ions production on the steady-state multiplicity of substrate-inhibited enzymatic reactions: II. Transient behaviour
    • Elnashaie, S. S. E. H., El-Rifaie, M. A., Ibrahim, G. and Badra, G., The effect of hydrogen ions production on the steady-state multiplicity of substrate-inhibited enzymatic reactions: II. Transient behaviour. Appl. Biochem. Biotech., 1983, 8, 467-479.
    • (1983) Appl. Biochem. Biotech. , vol.8 , pp. 467-479
    • Elnashaie, S.S.E.H.1    El-Rifaie, M.A.2    Ibrahim, G.3    Badra, G.4
  • 4
    • 0021514815 scopus 로고
    • The effect of hydrogen ions on the steady-state multiplicity of substrate-inhibited enzymatic reactions: III. Asymmetrical steady-states in enzyme membrane
    • Elnashaie, S. S. E. H., Ibrahim, G. and El-Shishini, S. S., The effect of hydrogen ions on the steady-state multiplicity of substrate-inhibited enzymatic reactions: III. Asymmetrical steady-states in enzyme membrane. Appl. Biochem. Biotech., 1984, 9, 455-474.
    • (1984) Appl. Biochem. Biotech. , vol.9 , pp. 455-474
    • Elnashaie, S.S.E.H.1    Ibrahim, G.2    El-Shishini, S.S.3
  • 5
    • 0002709930 scopus 로고
    • Universal behaviour in non-linear systems
    • Feigenbaum, M. J., Universal behaviour in non-linear systems. Los Alamos Sci., 1980, 1, 4-27.
    • (1980) Los Alamos Sci. , vol.1 , pp. 4-27
    • Feigenbaum, M.J.1
  • 6
    • 0000347179 scopus 로고
    • Strange attractors
    • Ruelle, D., Strange attractors. Math. Intelligencer, 1980, 2, 126-137.
    • (1980) Math. Intelligencer , vol.2 , pp. 126-137
    • Ruelle, D.1
  • 7
    • 29144481818 scopus 로고
    • Experimental evidence of subharmonic bifurcation, multistability and turbulence in a Q-switched gas laser
    • Arecchi, F. T., Meucci, R., Puccioni, G. and Tredicce, J., Experimental evidence of subharmonic bifurcation, multistability and turbulence in a Q-switched gas laser. Phys. Rev. Lett., 1982, 49, 1217-1220.
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1217-1220
    • Arecchi, F.T.1    Meucci, R.2    Puccioni, G.3    Tredicce, J.4
  • 8
    • 0020632750 scopus 로고
    • On the dynamics of stirred tank reactor with consecutive reactions
    • Jorgensen, D. V. and Aris, R., On the dynamics of stirred tank reactor with consecutive reactions. Chem. Eng. Sci., 1983, 38, 45-53.
    • (1983) Chem. Eng. Sci. , vol.38 , pp. 45-53
    • Jorgensen, D.V.1    Aris, R.2
  • 9
    • 0023207093 scopus 로고
    • Dynamics of consecutive reactions in CSTR: A case study
    • Chemburkar, R. M., Rossler, O. E. and Varma, A., Dynamics of consecutive reactions in CSTR: a case study. Chem. Eng. Sci., 1987, 42, 1507-1509.
    • (1987) Chem. Eng. Sci. , vol.42 , pp. 1507-1509
    • Chemburkar, R.M.1    Rossler, O.E.2    Varma, A.3
  • 10
    • 0026941956 scopus 로고
    • The dynamic behaviour of continuous polymerization reaction: VI. Complex dynamics in full-scale reactors
    • Teymour, F. and Ray, W. H., The dynamic behaviour of continuous polymerization reaction: VI. Complex dynamics in full-scale reactors. Chem. Eng. Sci., 1992, 47, 4133-4140.
    • (1992) Chem. Eng. Sci. , vol.47 , pp. 4133-4140
    • Teymour, F.1    Ray, W.H.2
  • 11
    • 0026822111 scopus 로고
    • Chaotic behaviour of reactor systems: Parallel cubic auto catalators
    • Lynch, D. T., Chaotic behaviour of reactor systems: Parallel cubic auto catalators. Chem. Eng. Sci., 1992, 47, 347-355.
    • (1992) Chem. Eng. Sci. , vol.47 , pp. 347-355
    • Lynch, D.T.1
  • 12
    • 0026268962 scopus 로고
    • Spatial structure and chaos in insect population dynamics
    • Hassell, M. P., Comins, H. N. and May, R. M., Spatial structure and chaos in insect population dynamics. Nature, 1991, 353, 255-258.
    • (1991) Nature , vol.353 , pp. 255-258
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 13
    • 0022323096 scopus 로고
    • Complete chaos in a simple epidemiological model
    • Thomas, D. R., Zhuo-Cheng, Y. and Lee-Wah, Y., Complete chaos in a simple epidemiological model. J. Math. Biol., 1986, 23, 263-268.
    • (1986) J. Math. Biol. , vol.23 , pp. 263-268
    • Thomas, D.R.1    Zhuo-Cheng, Y.2    Lee-Wah, Y.3
  • 15
    • 0042608839 scopus 로고
    • Periodic and chaotic behaviour of substrate-inhibited enzymatic reactions with hydrogen ions production
    • Ibrahim, G., Teymour, F. A. and Elnashaie, S. S. E. H., Periodic and chaotic behaviour of substrate-inhibited enzymatic reactions with hydrogen ions production. Appl. Biochem. Biotech., 1995, 55, 175-206.
    • (1995) Appl. Biochem. Biotech. , vol.55 , pp. 175-206
    • Ibrahim, G.1    Teymour, F.A.2    Elnashaie, S.S.E.H.3
  • 18
    • 0019515119 scopus 로고
    • Excitability, memory and oscillations in artificial acetylcholinesterase membrane
    • Friboulet, A., David, A. and Thomas, D., Excitability, memory and oscillations in artificial acetylcholinesterase membrane. J. Membrane Sci., 1981, 8, 33-39.
    • (1981) J. Membrane Sci. , vol.8 , pp. 33-39
    • Friboulet, A.1    David, A.2    Thomas, D.3
  • 19
    • 0026919157 scopus 로고
    • On the existence and role of chaotic processes in the nervous system
    • Doyon, B.. On the existence and role of chaotic processes in the nervous system. Acta-Biotheor., 1992, 402-3, 113-122.
    • (1992) Acta-Biotheor. , vol.3-402 , pp. 113-122
    • Doyon, B.1
  • 21
    • 44949266418 scopus 로고
    • Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
    • Wang, X. J., Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle. Phys. D, 1993, 62, 263-274.
    • (1993) Phys. D , vol.62 , pp. 263-274
    • Wang, X.J.1
  • 22
    • 0026858346 scopus 로고
    • From simple to simple bursting behaviour via chaos in the Rose-Hindmarsh model for neuronal activity
    • Holden, A. V. and Fan, Y. S., From simple to simple bursting behaviour via chaos in the Rose-Hindmarsh model for neuronal activity. Chaos, Solitons & Fractals, 1992, 2, 221-236.
    • (1992) Chaos, Solitons & Fractals , vol.2 , pp. 221-236
    • Holden, A.V.1    Fan, Y.S.2
  • 23
    • 0000732703 scopus 로고
    • From simple to complex oscillatory behaviour via intermittency chaos in Rose-Hindmarsh model for neuronal activity
    • Holden, A. V. and Fan, Y. S., From simple to complex oscillatory behaviour via intermittency chaos in Rose-Hindmarsh model for neuronal activity. Chaos, Solitons & Fractals, 1992, 2, 349-369.
    • (1992) Chaos, Solitons & Fractals , vol.2 , pp. 349-369
    • Holden, A.V.1    Fan, Y.S.2
  • 24
    • 0026945747 scopus 로고
    • Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity
    • Holden, A. V. and Fan, Y. S., Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity. Chaos, Solitons & Fractals, 1992, 2, 583-595.
    • (1992) Chaos, Solitons & Fractals , vol.2 , pp. 583-595
    • Holden, A.V.1    Fan, Y.S.2
  • 25
    • 0027625581 scopus 로고
    • Bifurcation, bursting, chaos and crises in the Rose-Hindmarsh model for neuronal activity
    • Fan, Y. S. and Holden, A. V., Bifurcation, bursting, chaos and crises in the Rose-Hindmarsh model for neuronal activity. Chaos, Solitons & Fractals, 1993, 3, 439-449.
    • (1993) Chaos, Solitons & Fractals , vol.3 , pp. 439-449
    • Fan, Y.S.1    Holden, A.V.2
  • 26
    • 0027334111 scopus 로고
    • Bifurcation, instability and chaos in fluidized bed catalytic reactors with consecutive exothermic chemical reactions
    • Elnashaie, S. S. E. H., Abasher, M. E. and Teymour, F. A., Bifurcation, instability and chaos in fluidized bed catalytic reactors with consecutive exothermic chemical reactions. Chaos, Solitons & Fractals, 1993, 3, 1-33.
    • (1993) Chaos, Solitons & Fractals , vol.3 , pp. 1-33
    • Elnashaie, S.S.E.H.1    Abasher, M.E.2    Teymour, F.A.3
  • 27
    • 84956230541 scopus 로고
    • A contribution to the problem of the structure of an extended neighbourhood of a structurally stable equilibrium of saddle-focus type
    • Sil'nikov, L. P., A contribution to the problem of the structure of an extended neighbourhood of a structurally stable equilibrium of saddle-focus type. Math. USSR Sbornik, 1970, 10, 91-102.
    • (1970) Math. USSR Sbornik , vol.10 , pp. 91-102
    • Sil'nikov, L.P.1
  • 28
    • 0022987517 scopus 로고
    • F bifurcation phenomena in CSTR dynamics: A system with extraneous thermal capacitance
    • Planeaux, J. B. and Jensen, K., F bifurcation phenomena in CSTR dynamics: A system with extraneous thermal capacitance. Chem. Eng. Sci., 1986, 41, 1497-1523.
    • (1986) Chem. Eng. Sci. , vol.41 , pp. 1497-1523
    • Planeaux, J.B.1    Jensen, K.2
  • 33
    • 0002579708 scopus 로고
    • Quantifying chaos with Lyapunov exponents
    • ed. A. V. Holden. Manchester University Press, Manchester
    • Wolf, A., Quantifying chaos with Lyapunov exponents. In Non-linear Scientific Theory and Applications, ed. A. V. Holden. Manchester University Press, Manchester, 1984.
    • (1984) Non-linear Scientific Theory and Applications
    • Wolf, A.1
  • 34
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J. B., Swinney, H. L. and Vastano, J. A., Determining Lyapunov exponents from a time series. Phys. D, 1985, 16, 285-317.
    • (1985) Phys. D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 37
    • 0012349493 scopus 로고
    • Crises, sudden changes in chaotic attractors, and transient chaos
    • Grebogi, C., Ott, E. and Yorke, A., Crises, sudden changes in chaotic attractors, and transient chaos. Phys. D, 1983, 7, 181-200.
    • (1983) Phys. D , vol.7 , pp. 181-200
    • Grebogi, C.1    Ott, E.2    Yorke, A.3
  • 40
    • 0012880758 scopus 로고
    • Different types of chaos in two simple differential equations
    • Rossler, O. E., Different types of chaos in two simple differential equations. Z. Naturf., 1976, 31, 1664-1670.
    • (1976) Z. Naturf. , vol.31 , pp. 1664-1670
    • Rossler, O.E.1
  • 41
    • 0001768333 scopus 로고
    • What we can learn from homoclinic orbits in chaotic dynamics?
    • Gaspard, P. and Nicolis, G., What we can learn from homoclinic orbits in chaotic dynamics? J. Stat. Phys., 1983, 31, 499-518.
    • (1983) J. Stat. Phys. , vol.31 , pp. 499-518
    • Gaspard, P.1    Nicolis, G.2
  • 42
    • 0000269185 scopus 로고
    • Chaotic states of enharmonic systems in periodic fields
    • Huberman, B. and Crutchfield, J. P., Chaotic states of enharmonic systems in periodic fields. Phys. Rev. Lett., 1979, 43, 1743-1747.
    • (1979) Phys. Rev. Lett. , vol.43 , pp. 1743-1747
    • Huberman, B.1    Crutchfield, J.P.2
  • 43
  • 44
    • 0000182615 scopus 로고
    • Horseshoe-map chaos in the Lorenz equation
    • Rossler, O. E., Horseshoe-map chaos in the Lorenz equation. Phys. Lett. A, 1977, 60, 392-394.
    • (1977) Phys. Lett. A , vol.60 , pp. 392-394
    • Rossler, O.E.1
  • 45
    • 0041606881 scopus 로고
    • Neural mechanisms underlying brain waves: From neural membrane to networks
    • Lopes-da-Silva, F., Neural mechanisms underlying brain waves: from neural membrane to networks. Neurosci. Lett., 1992, 143, 4-7.
    • (1992) Neurosci. Lett. , vol.143 , pp. 4-7
    • Lopes-Da-Silva, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.