![]() Often it involves differential equations, according to the math whizzes at the University of Arizona. In mathematics, dynamical systems is the branch of study focused on systems that are controlled by a specific, consistent set of laws over time. “You can have deterministic ones, or slightly stochastic or random ones, but billiards is the deterministic one where there’s a rule of motion.” “Billiards fits into a more general classification in mathematics of dynamical systems,” explains Donnay. “Excellent billiards players don’t think of themselves as mathematicians.”īut what if there were a mathematical secret weapon to help you play better and impress your friends? According to Victor Donnay, a mathematics professor at Pennsylvania’s Bryn Mawr College, there just might be, and it involves something called a “dynamical system.” Donnay’s research focuses on the chaotic properties of dynamical systems, including those modeled on billiards.
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