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- Logistic_map abstract "The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations. The map was popularized in a seminal 1976 paper by the biologist Robert May, in part as a discrete-time demographic model analogous to the logistic equation first created by Pierre François Verhulst.Mathematically, the logistic map is writtenwhere:is a number between zero and one, and represents the ratio of existing population to the maximum possible population at year n, and hence x0 represents the initial ratio of population to max. population (at year 0)r is a positive number, and represents a combined rate for reproduction and starvation.This nonlinear difference equation is intended to capture two effects. reproduction where the population will increase at a rate proportional to the current population when the population size is small. starvation (density-dependent mortality) where the growth rate will decrease at a rate proportional to the value obtained by taking the theoretical "carrying capacity" of the environment less the current population.However, as a demographic model the logistic map has the pathological problem that some initial conditions and parameter values lead to negative population sizes. This problem does not appear in the older Ricker model, which also exhibits chaotic dynamics.The r=4 case of the logistic map is a nonlinear transformation of both the bit shift map and the case of the tent map.".
- Logistic_map thumbnail Logistic_map_with_parameter_from_0.02_to_4_t_from_0_to_200.gif?width=300.
- Logistic_map wikiPageExternalLink DiscreteLogisticEquation.
- Logistic_map wikiPageExternalLink OrbitDiagramOfTwoCoupledLogisticMaps.
- Logistic_map wikiPageExternalLink chaos.
- Logistic_map wikiPageExternalLink Logistic.htm.
- Logistic_map wikiPageExternalLink lectures.nsitlounge.in.
- Logistic_map wikiPageExternalLink caose.html.
- Logistic_map wikiPageExternalLink qm.html.
- Logistic_map wikiPageExternalLink logisticsmapchaos.php.
- Logistic_map wikiPageExternalLink LogisticMap.html.
- Logistic_map wikiPageExternalLink ?p=2006.
- Logistic_map wikiPageExternalLink logisticmap.html&date=2009-10-25+06:37:07.
- Logistic_map wikiPageExternalLink page-918c-text.
- Logistic_map wikiPageExternalLink index.php?item=4.
- Logistic_map wikiPageID "18137".
- Logistic_map wikiPageRevisionID "601993234".
- Logistic_map hasPhotoCollection Logistic_map.
- Logistic_map subject Category:Chaotic_maps.
- Logistic_map type Artifact100021939.
- Logistic_map type ChaoticMaps.
- Logistic_map type Creation103129123.
- Logistic_map type Map103720163.
- Logistic_map type Object100002684.
- Logistic_map type PhysicalEntity100001930.
- Logistic_map type Representation104076846.
- Logistic_map type Whole100003553.
- Logistic_map comment "The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.".
- Logistic_map label "Aplicación logística".
- Logistic_map label "Logistic map".
- Logistic_map label "Logistische Gleichung".
- Logistic_map label "Mapa logístico".
- Logistic_map label "Mappa logistica".
- Logistic_map label "Odwzorowanie logistyczne".
- Logistic_map label "Suite logistique".
- Logistic_map label "Логистическое отображение".
- Logistic_map label "متتالية لوجستية".
- Logistic_map label "單峰映象".
- Logistic_map sameAs Logistische_Gleichung.
- Logistic_map sameAs Aplicación_logística.
- Logistic_map sameAs Suite_logistique.
- Logistic_map sameAs Mappa_logistica.
- Logistic_map sameAs 로지스틱_사상.
- Logistic_map sameAs Odwzorowanie_logistyczne.
- Logistic_map sameAs Mapa_logístico.
- Logistic_map sameAs m.04l_b.
- Logistic_map sameAs Q587182.
- Logistic_map sameAs Q587182.
- Logistic_map sameAs Logistic_map.
- Logistic_map wasDerivedFrom Logistic_map?oldid=601993234.
- Logistic_map depiction Logistic_map_with_parameter_from_0.02_to_4_t_from_0_to_200.gif.
- Logistic_map isPrimaryTopicOf Logistic_map.
