当参数<math>\mu</math>从大约3.56995变化到3.82843时,Logistic映射的混沌行为的发展过程有时被称为the Pomeau–Manneville scenario,其特征是周期性(层流)阶段被非周期性行为突然打断。The Pomeau–Manneville scenario在半导体器件中有应用。<ref name="carson82">{{cite journal|first1=Carson |last1=Jeffries|first2=José |last2=Pérez |journal=Physical Review A|year=1982|title=Observation of a Pomeau–Manneville intermittent route to chaos in a nonlinear oscillator|volume=26 |issue=4 |pages=2117–2122|doi=10.1103/PhysRevA.26.2117|bibcode = 1982PhRvA..26.2117J |url=http://www.escholarship.org/uc/item/2dm2k8mm}}</ref> 此时函数值在5个值之间来回波动;所有的振荡周期都依赖于<math>\mu</math>。 | 当参数<math>\mu</math>从大约3.56995变化到3.82843时,Logistic映射的混沌行为的发展过程有时被称为the Pomeau–Manneville scenario,其特征是周期性(层流)阶段被非周期性行为突然打断。The Pomeau–Manneville scenario在半导体器件中有应用。<ref name="carson82">{{cite journal|first1=Carson |last1=Jeffries|first2=José |last2=Pérez |journal=Physical Review A|year=1982|title=Observation of a Pomeau–Manneville intermittent route to chaos in a nonlinear oscillator|volume=26 |issue=4 |pages=2117–2122|doi=10.1103/PhysRevA.26.2117|bibcode = 1982PhRvA..26.2117J |url=http://www.escholarship.org/uc/item/2dm2k8mm}}</ref> 此时函数值在5个值之间来回波动;所有的振荡周期都依赖于<math>\mu</math>。 |