Professor of Mathematics Richard Bedient and his co-author Michael Frame of Yale University recently published a paper titled "Carrying Surfaces for Return Maps of Averaged Logistic Maps" in Computers & Graphics. The logistic map is a well known example of a chaotic system.
In this paper, the authors explore what happens when two or more logistic maps are averaged. The main results show that there exists a three-dimensional analogue of the usual two-dimensional return map called a carrying surface. This surface can be used to explain much of the behavior of averaged maps.
In this paper, the authors explore what happens when two or more logistic maps are averaged. The main results show that there exists a three-dimensional analogue of the usual two-dimensional return map called a carrying surface. This surface can be used to explain much of the behavior of averaged maps.
