11-го июня текущего года, в 13:00 часов, в 137 аудитории факультета математики и механики ЕГУ состоится научный семинар на тему «Dynamics, Chaos, and Fractals».
С докладом выступит профессор Университета штата Канзас в США (Kansas State University, USA) Грант Акопян.
Тема и описание семинара:
Given a function f:\mathbb{R}\to\mathbb{R} and a point x=x_0\in\mathbb{R} the orbit of x under f is the sequence x_n =f^{\circ n}(x_0), where f^{\circ n} denotes the n-th iterate of f, that is f^{\circ n}=f\circ \ldots \circ f. When fis a linear function then every orbit of every point can be easily described completely.
However, even for the easiest non-linear functions of the form f(x)=x^2+c the situation becomes completely different and description of orbits becomes much more difficult and even impossible.
Nevertheless, it turns out that qualitative behavior of most orbits for most quadratic functions is indeed possible.
Understanding this leads one to the notion of chaos, unpredictability, fractals, and many other interesting concepts which we will describe in this lecture.
