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:
“... there are two types of happiness and I have chosen that of the murderers. For I am happy. There was a time when I thought I had reached the limit of distress. Beyond that limit, there is a sterile and magnificent happiness.”
—Albert Camus (1913–1960)
“True love does not quarrel for slight reasons, such mistakes as mutual acquaintances can explain away, but, alas, however slight the apparent cause, only for adequate and fatal and everlasting reasons, which can never be set aside.”
—Henry David Thoreau (1817–1862)