Abstract
Recently, the study of chaos is attracting attention, and a wide range of academic fields is actively involved. On the other hand, Aihara proposed the term “chaos engineering” to describe the application of chaos theory for engineering purposes, and its possibilities have been demonstrated. Examples of applications reported so far include “Oil Fan Heaters (Sanyo Electric Co., Ltd.),” “Air-conditioners and Dish Washing Dryers (Matsushita Electric Industrial Co., Ltd.),” “Washing Machines (Goldstar Co., Ltd.; Korea)” and other home appliances and “Application to Health Care (Computer Convenience).” However, industrially, there has been only one application which is the “Tap Water Demand Prediction (Meidensha Corporation).” This paper first reviews the history of chaos research. Next, deterministic chaos is described. Time series forecasting and fault diagnosis are discussed as prospective industrial applications, and the related methodology is explained using practical examples.
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References
Poincaré, H., 1893, Les Méthodes Nouvelles de la Mécanique Céleste2, Gauthiers-Villar, Paris
Hadamard, J., 1898, Les Surfaces à Courbures Opposées et Leurs Ligns Géodésiques. J. Math. Pure Appl. 4, 27.
Poincaré, H., 1913, Sciencr et Méthode”, Paris: Flammarion, 1912, English translation: Science and Method. Science Press Lancaster, P.A
Lorenz, E. N., 1963, Deterministic Nonperiodic Flow. J. Atoms, Sci., 20, 130–141
Smale, S., 1967, Differentiable Dynamical Systems. Bull. Amer. Math. Soc., 73, 747–817
Ruell, D., and Takens, F., 1971, On the Nature of Turbulence., Commun. Math. Phys., 20, 167–192
Li, T. Y., and Yorke, J. A., 1975, Period Three Implies Chaos. Amer. Math. Monthly. 82, 985–982
Aihara, K., 1992, Chaos Engineering. Scientific American (Japanese edition), 22.3.26, Nikkei Science, Inc., Tokyo
Takens, F., 1981, In Dynamical Systems and Turbulence, (eds. Rand and Young), Springer, Berlin, 366–381
Mees, A. I., 1991, Dynamical Systems and Tessellations: Detecting Determinism in Data. Int. Journal of Bifurcation and Chaos, Vol. 1, No.4, 777–794
Jimenez, J., Moreno J. A., and Ruggeri, G. J., 1992, Forecasting on Chaotic Time Series: A Local Optimal Linear-reconstruction Method. Physical Review A, Vol. 45, No.6,.3553–3558
Iokibe, T., 1995, Fusion of Chaos and Fuzzy Logic, and its Applications, Industrial Applications of Fuzzy Technology in the World (eds. K. Hirota and M. Sugeno), World Scientific, 271-296
Fujimoto, Y., Iokibe, T., and Tanimura, T., 1996, Trajectory Parallel Measure Method for Discriminating between Determinism and Stochastic Process Property in Time Series. Journal of Japan Society for Fuzzy Theory and Systems, (printing)
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© 1998 Springer-Verlag London
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Iokibe, T. (1998). Industrial Application of Chaos Engineering. In: Chawdhry, P.K., Roy, R., Pant, R.K. (eds) Soft Computing in Engineering Design and Manufacturing. Springer, London. https://doi.org/10.1007/978-1-4471-0427-8_16
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DOI: https://doi.org/10.1007/978-1-4471-0427-8_16
Publisher Name: Springer, London
Print ISBN: 978-3-540-76214-0
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