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.)
“I have resolved on an enterprise that has no precedent and will have no imitator. I want to set before my fellow human beings a man in every way true to nature; and that man will be myself.”
—Jean-Jacques Rousseau (1712–1778)