RESEARCH INTERESTS

    bifurcation diagram

    Bifurcation Diagram of the discrete logistic system X(n+1) = C*Xn*(1-X(n)). The value of Xn is plotted against the parameter AC'. Note the islands of order within the chaotic region at the right of the graph ( C = 3.54 to 4.0).


    Broadly speaking, I am interested in Laser and interference imaging and non-linear dynamical and especially neural network applications in the earth sciences and in volcanic rocks especially from the Lesser Antilles, High Cascades, and Hawaii. That said, I'll not pass up an opportunity to do interesting work; in the past I've worked on fluvial rounding of volcanic detritus and coral daily growth rates, for example. Research-wise, what turns me on is really novel work that's never been done before and which features images or graphs ("maps") of some sort. If mathematics or computers are involved then so much the better. Put another way, a study such as: "A descriptive study of another quartz-bearing granite" leaves me colder than yesterday's calamari.

    BIBLIOGRAPHY
    Anderson, A.T., Jr., 1983. Oscillatory zoning of plagioclase: Nomarski interference contrast microscopy of etched sections. Amer. Min., v. 68, p. 125-29.

    Clark, A.H., Pearce, T. H., Roeder, P.L., and Wolfson, I., 1986. Oscillatory zoning and other microstructures in magmatic olivine and augite: Nomarski interference contrast observations on etched polished surfaces. Amer. Mineral., v. 71, p. 734-741.

    Gleik, J., 1988. Chaos Making a New Science. Penguin Books, New York. 352 pp. Gould, H., and Tobochnik, J., 1990. More on fractals and chaos. Computers in Physics, v. 4, no. 2, Mar/Apr, p. 202-207

    Middleton, G.V., 1990. Non-linear dynamics and chaos: Potential applications in the earth sciences. Geoscience Canada, v. 17, no. 1, p. 3-11.

    Pearce, T. H., and Clark, A.H., 1989. Nomarski interference contrast observations of textural details in volcanic rocks. Geology, v. 17, p. 757-759.

    Pearce, T. H., Russell, J.K., and Wolfson, I., 1987a. Laser-interference and Nomarski interference imaging of zoning profiles in plagioclase phenocrysts from the May 18, 1980 eruption of Mount St. Helens, Washington. Amer. Mineral., v. 72, p. 1131-1143.

    Pearce, T. H., Griffin, M.P., and Kolisnik, A.M., 1987b. Magmatic crystal stratigraphy and constraints on magma chamber dynamics: Laser interference results on individual phenocrysts. Jour. of Geophys. Res., v. 92, pt. 13, p. 13,745-13,752.

    Pearce, T. H., 1984a. Optical dispersion and zoning in magmatic plagioclase: Laser interference observations. Can. Mineral., v. 22, p. 383-390.

    Pearce, T. H., 1984b. The analysis of zoning in magmatic crystals with emphasis on olivine. Contrib. Mineral. Petrol., v. 86, p. 149-154.

    Pearce, T. H., 1984c. Multiple Frequency Laser Interference Microscopy: A new technique. The Microscope, v. 32, no. 2, p. 69-81 (with colour cover photo).

    Reed, S.J.B., 1975. Electron Microprobe Analysis. Cambridge University Press. London, New York, Melborne. 400 pp.

    Russell, J. K., Nicholls, J, Stanley, C.R. and Pearce, T. H., 1990. Pearce element ratios: A paradigm for testing hypotheses. EOS, v. 71, no. 5, Jan 30 p. 234-247.

    Steel, W.H., 1983. Interferometry. In Cambridge Studies in Modern Optics: 1, 2nd ed., Knight, P.L. and Smith, S.D., FRS, gen. eds. Cambridge University Press, Cambridge, G.B.

    Stewart, I., 1989. Does God Play Dice?: The Mathematics of Chaos. Basil Blackwell, Oxford, G.B. 317 pp.

    Tsuchiyama, A., 1985. Dissolution kinetics of plagioclase in the melt of the system diopside-albite- anorthite and origin of dusty plagioclase in andesites. Con. Min. Pet., v. 89, p. 1-16.

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