LEADER 00000cam a2200649 i 4500 001 on1162185707 003 OCoLC 005 20200814214713.5 006 m o d 007 cr ||||||||||| 008 110425s2012 nyua ob 001 0 eng 010 2020677518 019 828423729 020 9781624173370|qebook 020 1624173373 020 |z9781612096780|qhardcover 020 |z1612096786 035 (OCoLC)1162185707|z(OCoLC)828423729 040 DLC|beng|erda|cDLC|dVLY|dOCLCO|dOCLCF|dN$T|dYDXCP|dE7B |dEBLCP|dDEBSZ|dAGLDB|dVTS|dAU@|dSTF|dK6U 049 RIDW 050 00 QA845 072 7 SCI|x064000|2bisacsh 072 7 TEC|x029000|2bisacsh 082 00 003/.83|222 090 QA845|b.A3183 2012eb 245 00 Advances in discrete dynamics /|cedited by Jose S. Canovas. 264 1 Hauppauge, New York :|bNova Science Publishers,|c[2012] 300 1 online resource. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 347 text file|2rdaft 490 1 Mathematics research developments 504 Includes bibliographical references and index. 505 8 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. 505 8 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. 505 8 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. 546 English. 588 Description based on print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Dynamics.|0https://id.loc.gov/authorities/subjects/ sh85040316 650 0 Discrete-time systems.|0https://id.loc.gov/authorities/ subjects/sh85038370 650 7 Dynamics.|2fast|0https://id.worldcat.org/fast/900295 650 7 Discrete-time systems.|2fast|0https://id.worldcat.org/fast /894973 655 0 Electronic books. 655 4 Electronic books. 700 1 Cánovas, José S.|0https://id.loc.gov/authorities/names/ n2011027471 776 08 |iPrint version:|tAdvances in discrete dynamics|dHauppauge, N.Y. : Nova Science Publishers, c2012.|z9781612096780 (hardcover)|w(DLC) 2011010939 830 0 Mathematics research developments series.|0https:// id.loc.gov/authorities/names/no2009139785 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=535220|zOnline ebook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this ebook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20201113|cEBSCO|tEBSCOebooksacademic MERGE AUG-DEC2020 577 |lridw 948 |d20160607|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID