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References
Barnsley M.F., Demko S., “Iterated Function Systems and the Global Construction of Fractals”, Proc. Roy. Soc. London Ser. A 399, 243–275 (1985).
Barnsley M.F., Ervin V., Hardin D., and Lancaster J., “Solution of an Inverse Problem for Fractals and Other Sets”, Proc. Nat. Acad. Sci. USA, vol. 83, 1975–1977 (1986).
Barnsley M.F., Fractals Everywhere, Academic Press Inc., San Diego, CA (1988).
Barnsley M.F., Sloan A.D., “A Better Way to Compress Images”, BYTE Magazine, Jan. Issue, 215–223 (1988).
Barnsley M.F., Elton J. and Hardin D.P., “Recurrent Iterated Function Systems”, Constr. Approx. B5, 5–31 (1989).
Devaney R., An Introduction to Chaotic Dynamical Systems, Addison Wesley (1986).
Birkhoff G.D., “Dynamical Systems”, AMS Colloquium Publications, vol. 9 (1927), revised edition (1966).
Galiullin A.S., Inverse Problems of Dynamics, Mir Publishers (1984).
Cabrelli C.A, Forte B., Molter U.M. and Vrscay E.R., “Iterated Fuzzy Set Systems: A New Approach to the Inverse Problem for Fractals and Other Sets”, to appear in J. Math. Anal. Appl. (1992).
Cabrelli C.A., Molter U.M., “Density of Fuzzy Attractors: A Step Towards the Solution of the Inverse Problem for Fractals and Other Sets”, manuscript.
Dubuc S., Elqortobi A., “Approximations of Fractal Sets,”, J. Comput. and Appl. Math. 29, 79–89 (1990).
Gladwell G.M.L., “Lectures on Inverse Problems”, n. 1, SASIAM Reports, Bari Tecnopolis (1989).
Elton J.H., “An Ergodic Theorem for Iterated Maps”, Ergod. Th. & Dynam. Sys. 7, 481–488 (1987).
Harvey G.F., “Mathematical Simulation of Tight Coil Annealing”, J. Aust. Inst. Metals 22, 1, 28–37 (1977).
Hutchinson J., “Fractals and Self-similarity”, Indiana Univ. Math. J. 30, 713–747 (1981).
Kloeden P.E., “Fuzzy Dynamical Systems”, Fuzzy Sets and Systems 7, 275–296 (1982).
Lavrentiev M.M., “Some Improperly Posed Problems of Mathematical Physics”, Springer Tracts in Natural Philosophy, vol. 11, C. Truesdell ed., Springer-Verlag (1967).
Meshcherskii I.V., “Works on the Mechanics of Bodies with Varying Mass”, Gostekhizdat, Moskow, Leningrad (1949), (in Russian).
Mundie D., “A Mathematical Model of the Batch Annealing Process”, Master's Thesis, University of Waterloo, Dept. of Applied Mathematics (1981).
Stikker U.O., “Numerical Simulation of the Coil Annealing Process, Mathematical Models in Metallurgical Process Development”, ISI publ., 123, 104–114 (1970).
Suslov G.K., “On a Force Function Admitting Given Integrals”, Kiev, (1890), (in Russian).
Zadeh L.A., “Fuzzy Sets”, Inform. Control 8, 338–353 (1965).
Diamond P., Kloeden P.E., “Metric Spaces of Fuzzy Sets”, Fuzzy Sets and Systems, vol. 35, 241–249 (1990).
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Forte, B. (1992). Inverse problems in mathematics for industry. In: Capasso, V., Fasano, A. (eds) Mathematical Modelling of Industrial Processes. Lecture Notes in Mathematics, vol 1521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098366
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DOI: https://doi.org/10.1007/BFb0098366
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