《国外数学名著系列73(影印版):混沌动力系统的概念和结果》是“国外数学名著系列”之一,介绍了混沌动力系统的概念和其拓扑性质、双曲率、不变测度、熵和其他概率结果。《国外数学名著系列73(影印版):混沌动力系统的概念和结果》适合高等院校数学系研究生、数学科研人员学习参考。1ABasicProblem2DynamicalSystems2.1BasicsofMechanicalSystems2.2FormalDefinitions2.3Maps2.4BasicExamplesofMaps2.5MoreAdvancedExamples2.6ExamplesofFlows3TopologicalProperties3.1Coding,Kneading3.2TopologicalEntropy3.2.1Topological,Measure,andMetricSpaces3.2.2SomeExamples3.2.3GeneralTheoryofTopologicalEntropy3.2.4AMetricVersionofTopologicalEntropy3.3Attractors4Hyperbolicity4.1HyperbolicFixedPoints4.1.1StableandUnstableManifolds4.1.2Conjugation4.1.3Resonances4.2InvariantManifolds4.3NonwanderingPointsandAxiomASystems4.4ShadowingandItsConsequences4.4.1SensitiveDependenceonInitialConditions4.4.2ComplicatedOrbitsOccurinHyperbolicSystems4.4.3ChangeofMap4.5ConstructionofMarkovPartitions5InvariantMeasures5.1Overview5.2Details5.3ThePerron-FrobeniusOperator5.4TheErgodicTheorem5.5ConvergenceRatesintheErgodicTheorem5.6MixingandDecayofCorrelations5.7PhysicalMeasures5.8LyapunovExponents6Entropy6.1TheShannon-McMillan-BreimanTheorem6.2Sinai-Bowen-RuelleMeasures6.3Dimensions7StatisticsandStatisticalMechanics7.1TheCentralLimitTheorem7.2LargeDeviations7.3ExponentialEstimates7.3.IConcentration7.4TheFormalismofStatisticalMechanics7.5MultifractalMeasures8OtherProbabilisticResults8.1EntranceandRecurrenceTi