On generalization of Sierpiński gasket in Lobachevskii plane

Troshin P.

On generalization of Sierpiński gasket in Lobachevskii plane

Troshin P.

URI: http://dspace.kpfu.ru/xmlui/handle/net/130270

Date: 2017

Abstract:

© 2017, Pleiades Publishing, Ltd. We construct an analogue of Sierpiński gasket in Lobachevskii plane by means of iterated function system with maps from a transformation group of this space. The investigation of a new family of attractors and a Mandelbrot set associated with it reveals higher capacity of Lobachevskii geometry compared to that of Euclid.

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.