ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

Hausdorff–Besicovitch dimension

The 100th anniversary of fractal geometry: From Julia and Fatou through Hausdorff and Besicovitch to Mandelbrot

The purpose of this article is to present the biographies of the main creators of fractal geometry from the moment the first ideas arose, when the term «fractal» did not exist, to the present day. The main subjects of the article are Julia, Fatou, Richardson, Hausdorff, Besicovitch and Mandelbrot. The fates of these people are rich in dramatic events, some are tragic. Methods.

A brief review of the research results of new methods for generating, transmitting and receiving oscillations and waves based on fractal geometry methods

Purpose of this article is to generalize results of the application of fractal geometry methods in various radiophysic systems and at study of processes occurring in them. Methods. The presentation is built in the form of a brief review of a number of works devoted to new methods for generating, receiving and transmitting signals of various frequency ranges, including microwave frequencies, using fractal geometry approaches.

Fractal geometry

The article deals with the bases of fractal geometry and fates of its creators. The biographies and the discoveries of Felix Hausdorff and Abram Besicovitch – the main characters of the great play called fractal geometry – are presented with the possible degree of detail. There is no doubt that the author and director of this play was Benoit Mandelbrot. The article presents his biography and brief descriptions of the lives of his predecessors: Henri Poincare, Maurice Gaston Julia and Pierre Gaston Jose Fatou.

Уважаемые участники конференции "Нелинейные дни"! Если вы не видите свою статью в тематическом №5 за этот год, то не расстраивайтесь, значит ваша статья просто туда не уместилась (Роскомнадзор ограничивает нас 132 страницами в выпуске) и будет опубликована в №1 за 2024 год. С уважением, редакция журнала "Известия вузов. Прикладная нелинейная динамика".