Development of the Notion of Discrete Attractor and Estimation of Perspective Fields of its Application

Student: Il`ichyov Aleksej

Supervisor: Alexander Makhiboroda

Faculty: Faculty of Applied Mathematics and Cybernetics

Educational Programme: Specialist

Final Grade: 10

Year of Graduation: 2014

<p>This graduation project is devoted to continue research on the geometry of functional spaces defined on finite sets, initiated by V.I. Arnold. It was given the definition of digital discrete attractors and repellers. With the help of a tool FanScan were experimentally built dozens of graphs and charts , based on which it was possible to formulate some properties of the attractor and begun to study the branching process . It was portrayed list of possible use of digital discrete attractor and a task to continue further studies.<br />When writing the work were studied and served as the starting point of V.I. Arnold, as well as graduation projects of past years on this topic.</p>

Full text (added May 28, 2014) (1.76 Kb)

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