In mathematics, especially in the study of dynamical systems, a limit set is the state a dynamical system reaches after an infinite amount of time has passed, by either going forward or backwards in time. Limit sets are important because they can be used to understand the long term behavior of a dynamical system.
Read more about Limit Set: Types, Definition For Iterated Functions, Definition For Flows
Famous quotes containing the words limit and/or set:
“Moreover, the universe as a whole is infinite, for whatever is limited has an outermost edge to limit it, and such an edge is defined by something beyond. Since the universe has no edge, it has no limit; and since it lacks a limit, it is infinite and unbounded. Moreover, the universe is infinite both in the number of its atoms and in the extent of its void.”
—Epicurus (c. 341–271 B.C.)
“He is a friend of all just men and a lover of the right; and he knows more than how to talk about the right—he knows how to set it forward in the face of its enemies.”
—Woodrow Wilson (1856–1924)