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Математика Математика
Основы математического анализа и элементы дифференциальных уравнений Основы математического анализа и элементы дифференциальных уравнений

Наименование:

Topological Analysis of Patterns

Автор:   Marcio G.
мягкая обложка
104 страниц
2009 год
Издательство:   Книга по Требованию
Цена:
1994 руб
отсутсвует
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Описание:Homology provides very basic topological (geometrical) information about the patterns, such as the number of components (pieces) and the number of holes. We apply these techniques to patterns generated by experiments on spiral defect chaos, as well as to numerically simulated patterns in the Cahn-Hilliard theory of phase separation and on spiral wave patterns in excitable media. Some of the results obtained with these techniques include distinguishing patterns at different parameter values, detecting complicated dynamics through the computation of positive Lyapunov exponents and entropies, comparing experimental and numerically simulated data, and quantifying boundary effects on finite size domains. We use computational homology to characterize the geometry of complicated time-dependent patterns. For three- dimensional patterns it also provides the number of enclosed cavities.


Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка

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Языки мозга. Экспериментальные парадоксы и принципы нейропсихологии

Evidence for presynaptic dendrites and a proposal for their mechanism of action. Nature, April 1971. Б a n s о n S. W. and Clark S. L. The Anatomy of the Nervous System. Philadelphia, Saunders, 1959. Hanson S. W., Fisher С and Ingram W. R. Hypothalamic regulation of temperature in the monkey. A. M. A. Arch. Neurol. Psychiat., 1937, 38, 445-466. Rasmussen G. L. The olivary feduncle and other fiber projections of the superior complex. 7. сотр. Neurol, 1946, 83, 141. R a 11 i f f F. Mach Bands. San Francisco, Holden Day, 1965. R e i t z S. L. and Pribram К. Н. Some subcortical connections of the infero- temporal gyrus of monkey. Exp. Neurol., 1969, 26, 632-645. R e m о n d A. Integrated and topological analysis of the EEG. B: Brazier M. A. B. (ed.). Computer Techniques in EEG Analysis. Supplement 20 to «The EEG Journal», 1961, p. 64-67. R i с h t e г С. Р. Experimental production of cycles in behavior and physiology in animals. Acta med. Scand., 1955, 152, Sup. 307, 36-37. Rigg L. A., Ratliff F., Cornsweet J. С and Cornsweet T. N ...»

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