Movatterモバイル変換

[0]ホーム
URL:

About:Random dynamical system

An Entity of Type:StochasticProcess113561896,from Named Graph:http://dbpedia.org,within Data Space:dbpedia.org

In the mathematical field of dynamical systems, a random dynamical system is a dynamical system in which the equations of motion have an element of randomness to them. Random dynamical systems are characterized by a state space S, a set of maps from S into itself that can be thought of as the set of all possible equations of motion, and a probability distribution Q on the set that represents the random choice of map. Motion in a random dynamical system can be informally thought of as a state evolving according to a succession of maps randomly chosen according to the distribution Q.

PropertyValue
dbo:abstract
  • In the mathematical field of dynamical systems, a random dynamical system is a dynamical system in which the equations of motion have an element of randomness to them. Random dynamical systems are characterized by a state space S, a set of maps from S into itself that can be thought of as the set of all possible equations of motion, and a probability distribution Q on the set that represents the random choice of map. Motion in a random dynamical system can be informally thought of as a state evolving according to a succession of maps randomly chosen according to the distribution Q. An example of a random dynamical system is a stochastic differential equation; in this case the distribution Q is typically determined by noise terms. It consists of a base flow, the "noise", and a cocycle dynamical system on the "physical" phase space. Another example is discrete state random dynamical system; some elementary contradistinctions between Markov chain and random dynamical system descriptions of a stochastic dynamics are discussed. (en)
dbo:wikiPageID
  • 7185428 (xsd:integer)
dbo:wikiPageLength
  • 10830 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1066727492 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • In the mathematical field of dynamical systems, a random dynamical system is a dynamical system in which the equations of motion have an element of randomness to them. Random dynamical systems are characterized by a state space S, a set of maps from S into itself that can be thought of as the set of all possible equations of motion, and a probability distribution Q on the set that represents the random choice of map. Motion in a random dynamical system can be informally thought of as a state evolving according to a succession of maps randomly chosen according to the distribution Q. (en)
rdfs:label
  • Random dynamical system (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
isdbo:wikiPageRedirects of
isdbo:wikiPageWikiLink of
isfoaf:primaryTopic of
Powered by OpenLink Virtuoso   This material is Open Knowledge    W3C Semantic Web Technology    This material is Open Knowledge   Valid XHTML + RDFa
This content was extracted fromWikipedia and is licensed under theCreative Commons Attribution-ShareAlike 3.0 Unported License
[8]ページ先頭
©2009-2025 Movatter.jp