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Chapter 7
S. Kabashima, T. Kawakubo: Observation of a noise induced phase transition in a parametric oscillator. Phys. Lett. A70, 375 (1979)
S. Kabashima, S. Kogure, T. Kawakubo, T. Okada: Oscillatory to nonoscillatory transition due to external noise in parametric oscillator. J. Appl. Phys. 50, 6296 (1979)
S. Kabashima: Observation of phase transition due to external fluctuations, (unpublished)
J.J. Tyson: The Belousov-Zhabotinskii Reaction, Lecture Notes in Biomath., Vol.10 (Springer, Berlin, Heidelberg, New York 1976)
J.J. Tyson, P.C. Fife: Target patterns in a realistic model of the Belousov-Zhabotinskii reaction. J. Chem. Phys. 73, 2224 (1980)
M.L. Smoes: “Chemical Waves in the Oscillatory Zhabotinskii System, A Transition from Temporal to Spatio-Temporal Organization,” in Dynamics of Synergetic Systems, Springer Ser. Synergetics, Vol.6, ed. by H. Haken (Springer, Berlin, Heidelberg, New York 1980) p.80
A. Winfree: The Geometry of Biological Time, Biomathematics, Vol.8 (Springer, Berlin, Heidelberg, New York 1980)
P. De Kepper, W. Horsthemke: Etude d’une réaction chimique périodique. Influence de la lumiére et transitions induites par un bruit externe. C. R. Acad. Sci. Paris C 287, 251 (1978)
P. De Kepper, W. Horsthemke: “Experimental Evidence of Noise-Induced Transition in an Open Chemical System,” in Synergetics. Far from Equilibrium, Springer Ser. Synergetics, Vol.3, ed. by A. Pacault, C. Vidal (Springer, Berlin, Heidelberg, New York 1979) p.61
P. De Kepper: Contribution á 1’étude expérimentale de systémes dissipatifs chimique: réactions oscillantes de Briggs-Rauscher et de Belousov-Zhabotinskii. Thèse de Doctorat, Université de Bordeaux I (1978)
R. Graham, H. Haken: Laser light — first example of a second-order phase transition far away from thermal equilibrium. Z. Phys. 237, 31 (1970)
V. De Giorgio, M.O. Scully: Analogy between the laser threshold region and a second-order phase transition. Phys. Rev. A2, 1170 (1970)
H. Haken: Generalized Ginzburg-Landau equations for phase transition like phenomena in lasers, nonlinear optics, hydrodynamics and chemical reactions. Z. Phys. B 21, 105 (1975)
F.T. Arrechi: “Experimental Aspects of Transition Phenomena in Quantum Optics,” in Order and Fluctuations in Equilibrium and Nonequilibrium Statistical Mechanics, ed. by G. Nicolis, G. Dewel, J.W. Turner (Wiley, New York 1981)
H.M. Gibbs, S.L. McCall, T.N.C. Venkatesan: Differential gain and bistability using a sodium-filled Fabry-Perot interferometer. Phys. Rev. Lett. 36, 1135 (1976)
G.P. Agarwal, H.J. Carmichael: Optical bistability through nonlinear dispersion and absorption. Phys. Rev. Al9, 2074 (1979)
R. Bonifacio, L.A. Lugiato: Optical bistability and cooperative effects in resonance fluorescence. Phys. Rev. A l8, 1129 (1978)
A.R. Bulsara, W.C. Schieve, R.F. Gragg: Phase transitions induced by white noise in bistable optical systems. Phys. Lett. A68, 294 (1978)
R.F. Gragg: Stochastic Switching in Absorptive Optical Bistability. Ph. D. Thesis, University of Texas, Austin (1981)
F.T. Arrechi: “Transition Phenomena in Nonlinear Optics,” in Stochastic Non linear Systems in Physics, Chemistry, and Biology, Springer Ser. Synergetics, Vol.8, ed. by L. Arnold, R. Lefever (Springer, Berlin, Heidelberg, New York 1981) p.222
J. de la Rubia, M.G. Velarde: Further evidence of a phase transition induced by external noise. Phys. Lett. A69, 304 (1978)
R. Levins: The effect of random variations of different types on population growth. Proc. Natl. Acad.. Sci. USA 62, 1055 (1969)
R.C. Lewontin, D. Cohen.: On population growth in a randomly varying environment. Proc. Natl. Acad. Sci. USA 62, 1056 (1969)
D. Ludwig: Optimal harvesting of a randomly fluctuating resource I: application of perturbation methods.. SIAM J. Appl.. Math. 37, 166 (1979)
D. Ludwig, J.M. Varah: Optimal harvesting of a randomly fluctuating resource II: numerical methods and results. STAM J. Appl. Math. 37, 185 (1979)
B.S. White: The effect of a rapidly-fluctuating random environment on systems of interacting species. SIAM J. Appl. Math. 32, 666 (1977)
R. Lefever, W. Horsthemke: Bistability in fluctuating environments. Implications in tumor immunology. Bull. Math. Biol. 41, 469 (1979)
D. Ludwig, D.D. Jones, C.S. Hol1ing: Qualitative analysis of insect outbreak systems: the spruce budworm and forest. J. Anim. Ecol. 47, 315 (1978)
R.P. Garay, R. Lefever: A kinetic approach to the immunology of cancer: stationary state properties of effector-target cell reactions. J. Theor. Biol. 73, 417 (1978)
R. Lefever, R. Garay: “Local Description of Immune Tumor Rejection”, in Biomathematics and Cell Kinetics, ed. by A.J. Valleron, P.D.M. Macdonald (North-Holland, Amsterdam 1978) p.333
W. Horsthemke, R. Lefever: Phase transition induced by external noise. Phys. Lett. A64, 19 (1977)
R. Lefever: “Dynamics of Cell-Mediated Immune Response,” in Dynamics of Synergetic Systems, Springer Ser. Synergetics, Vol.6, ed. by H. Haken (Springer, Berlin, Heidelberg, New York 1980) p.205
R. Lefever: “Noise-Induced Transitions in Biological Systems,” in Stochastic Nonlinear Systems in Physios, Chemistry, and Biology, Springer Ser. Synergetics, Vol.8, ed. by L. Arnold, R. Lefever (Springer, Berlin, Heidelberg, New York 1981) p.127
J.C. Micheau, S. Boue, E. Van der Donckt: Theoretical kinetic analysis of biphotonic processes: evidence for the unusual but feasible occurrence of multistationary states and chemical oscillations. J. Chem. Soc. Faraday Trans. 2 78, 39 (1982)
J.C. Micheau, W. Horsthemke, R. Lefever: Sensitivity of biphotonic systems to light intensity fluctuations: experimental evidence in the thermoluminescence of fluorescein in boric acid glass. J. Chem Phys. (to appear)
F. Lesclaux, S. Ohayon, J. Joussot-Dubien: Contribution á l’étude de la luminescence différée de colorants en milieu rigide. Photoionisation de la fluoresceine dans 1’acide borique par un processus a deux photons. Photochem. Photobiol. 11, 401 (1970)
E. Walentynowicz: Thermoluminescence of fluorescein in boric acid glass. Acta Phys. Pol. 29, 713 (1966)
M.H. Dung, J.J. Kozak: Analysis of mechanisms for the cyclic cleavage of water by visible light. J. Photochem. 16, 121 (1981)
A. Nitzan, J. Ross: Oscillations, multiple steady states, and instabilities in illuminated systems. J. Chem. Phys. 59, 241 (1973)
A. Nitzan, P. Ortoleva, J. Ross: Symmetry breaking instabilities in illuminated systems. J. Chem. Phys. 60, 3194 (1974)
C.L. Creel, J. Ross: Multiple stationary states and hysteresis in a chemical reaction. J. Chem. Phys. 65, 3779 (1976)
R. Lefever, W. Horsthemke: Multiple transitions induced by light intensity fluctuations in illuminated chemical systems. Proc. Natl. Acad. Sci. USA 76, 2490 (1979)
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(2006). Noise-Induced Transitions in Physics, Chemistry, and Biology. In: Noise-Induced Transitions. Springer Series in Synergetics, vol 15. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-36852-3_7
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