Speaker
Description
In the 19th century, Henri Poincaré endeavored to answer King Oscar II of Sweden's question, "Is the Solar System stable?" Concurrently, Jacques Hadamard was studying the behavior of billiard balls. Both mathematicians, independently of each other, observed peculiar behaviors in the systems they were investigating. As it turns out, both gentlemen stumbled upon chaos.
In my presentation, I will discuss chaos in the sense of Devaney, the most commonly used definition of chaos in discrete dynamical systems. I will specifically talk about examples of chaotic functions, as well as those that do not fully satisfy Devaney's definition. Additionally, I will mention interesting research findings that allow us to simplify this definition. Due to the interdisciplinary nature of the conference, I will also highlight applications of chaos theory.
| Field | Mathematics |
|---|---|
| Length | Long 20 min |
