| Description |
1 online resource. |
|
text file |
| Series |
Mathematics research developments
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|
Mathematics research developments series.
|
| Bibliography |
Includes bibliographical references and index. |
| Contents |
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. |
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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. |
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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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
English. |
| Subject |
Dynamics.
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Dynamics. |
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Discrete-time systems.
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Discrete-time systems. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Added Author |
Cánovas, José S.
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| Other Form: |
Print version: Advances in discrete dynamics Hauppauge, N.Y. : Nova Science Publishers, c2012. 9781612096780 (hardcover) (DLC) 2011010939 |
| ISBN |
9781624173370 ebook |
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1624173373 |
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9781612096780 hardcover |
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1612096786 |
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