TY  - BOOK
AU  - Cánovas,José S.
TI  - Advances in discrete dynamics
T2  - Mathematics research developments
SN  - 9781624173370
AV  - QA845 
U1  - 003/.83 22
PY  - 2012///]
CY  - Hauppauge, New York
PB  - Nova Science Publishers
KW  - Dynamics
KW  - Discrete-time systems
KW  - Dynamique
KW  - Systèmes échantillonnés
KW  - SCIENCE
KW  - System Theory
KW  - bisacsh
KW  - TECHNOLOGY & ENGINEERING
KW  - Operations Research
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references and index; SHADOWING TECHNIQUES AND CHAOTIC PHENOMENAAbstract; 1. Introduction; 2. POTPandChaos; 3. TheLmSPandRecurrence; 3.1. AsymptoticPseudoOrbitandChainRecurrentSet; 3.2. LmSPandItsBasicProperty; 3.3. LmSPandInverseLimitSpace; 3.4. LmSP, MixingandRecurrency; 4. AverageShadowingProperty; 4.1. ASPandChainRecurrenceProperty; 4.2. ASPandTopologicalTransitivity; 5. AsymptoticAverageShadowingProperty; 5.1. AASPandChainTransitivity; 5.2. AASPandTopologicalTransitivity; 5.3. MapswiththeAASP; 6. Conclusion; Acknowledgement; References;!-LIMIT SETS OF DISCRETE-TIME DYNAMICAL SYSTEMS; Abstract; 1. Discrete-Time(Autonomous)DynamicalSystems1.1.!-limitSets, Periodicity, Recurrence, andNon-wonderingPoints; 1.2.!-limitSetsontheUnitInterval; 1.3. MinimalSets; 2. Chaos; 2.1. ThreeFormsofChaos; 3. GenericnessinTopologicalDynamics:TypicalBehaviour; 3.1. UbiquityofAddingMachinesinTopologicalDynamicalSystems; 4. Non-autonomousDynamicalSystemsontheUnitInterval; 4.1. AlternatingSystems, andTheir!-limitSets; 5. Conclusion; 5.1. Concerning!-limitSets; 5.2. ConcerningChaos; References; TOPOLOGICAL ENTROPY IN ONE DIMENSIONAL DYNAMICS; Abstract; 1. Introduction:Entropy; 2. TopologicalEntropy:FirstDefinitionsandBasicProperties3. TopologicalEntropy, TopologicalDynamicsandTopologicalChaos; 4. ContinuousIntervalMaps; 4.1. PiecewiseMonotoneMaps; 4.2. Horseshoes; 4.3.ComputingTopologicalEntropy:AFirstApproach; 4.4. ContinuityPropertiesofTopologicalEntropy; 4.5. TopologicalEntropyandTransitivity; 4.6. TopologicalEntropyandChaosforContinuousIntervalMaps; 4.7.ComputingTopologicalEntropyofUnimodalMaps; 4.8. TopologicalEntropyandPermutations; 4.9. MiscellaneousResults; 5. ContinuousRealMaps; 5.1. DefinitionofTopologicalEntropyonnonCompactSpaces
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