Normal view MARC view ISBD view

Advances in discrete dynamics / edited by Jose S. Canovas. - 1 online resource - Mathematics research developments . - Mathematics research developments series. .

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.


English.

ISBN: 9781624173370 ebook 1624173373 hardcover

LCCN: 2020677518

Subjects--Topical Terms:
Dynamics.
Discrete-time systems.
Dynamique.
Systèmes échantillonnés.
SCIENCE--System Theory.
TECHNOLOGY & ENGINEERING--Operations Research.
Discrete-time systems.
Dynamics.

Index Terms--Genre/Form:
Electronic books.
Electronic books.

LC Class. No.: QA845

Dewey Class. No.: 003/.83