LEADER 00000cam a2200661Ka 4500 001 ocn756780625 003 OCoLC 005 20160527040331.6 006 m o d 007 cr cnu---unuuu 008 111012s2011 si a ob 001 0 eng d 020 9789814340700|q(electronic book) 020 9814340707|q(electronic book) 020 |z9814340693 020 |z9789814340694 035 (OCoLC)756780625 040 N$T|beng|epn|cN$T|dE7B|dYDXCP|dDEBSZ|dSTF|dOCLCQ|dNLGGC |dOCLCQ|dOCLCF 049 RIDW 050 4 Q172.5.C45|bF756 2011eb 072 7 SCI|x012000|2bisacsh 082 04 003/.857|223 090 Q172.5.C45|bF756 2011eb 245 00 Frontiers in the study of chaotic dynamical systems with open problems /|cedited by Elhadj Zeraoulia, Julien Clinton Sprott. 264 1 Singapore ;|aHackensack, N.J. :|bWorld Scientific,|c[2011] 264 4 |c©2011 300 1 online resource (viii, 258 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 World Scientific series on nonlinear science. Series B. Special theme issues and proceedings ;|vv. 16 504 Includes bibliographical references and indexes. 505 00 |gMachine generated contents note:|g1.|tProblems with Lorenz's Modeling and the Algorithm of Chaos Doctrine / |rY. Lin --|g1.1.|tIntroduction --|g1.2.|tLorenz's Modeling and Problems of the Model --|g1.3.|tComputational Schemes and What Lorenz's Chaos Is --|g1.4.|tDiscussion -- |g1.5.|tAppendix: Another Way to Show that Chaos Theory Suffers From Flaws --|tReferences --|g2.|tNonexistence of Chaotic Solutions of Nonlinear Differential Equations / |rL.S. Yao --|g2.1.|tIntroduction --|g2.2.|tOpen Problems About Nonexistence of Chaotic Solutions --|tReferences -- |g3.|tSome Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems /|rJ. Heidel --|g3.1. |tFirst Open Problem --|g3.2.|tSecond Open Problem -- |g3.3.|tThird Open Problem --|g3.4.|tFourth Open Problem - -|g3.5.|tFifth Open Problem --|g3.6.|tSixth Open Problem - -|tReferences --|g4.|tOn Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems /|rG.M. Mahmoud. 505 00 |g4.1.|tIntroduction --|g4.2.|tExamples --|g4.2.1. |tDynamical Properties of Chaotic Complex Chen System -- |g4.2.2.|tHyperchaotic Complex Lorenz Systems --|g4.3. |tOpen Problems --|g4.4.|tConclusions --|tReferences -- |g5.|tOn the Study of Chaotic Systems with Non-Horseshoe Template /|rS. Basak --|g5.1.|tIntroduction --|g5.2. |tFormulation --|g5.3.|tTopological Analysis and Its Invariants --|g5.4.|tApplication to Circuit Data -- |g5.4.1.|tSearch for Close Return --|g5.4.2.|tTopological Constant --|g5.4.3.|tTemplate Identification --|g5.4.4. |tTemplate Verification --|g5.5.|tConclusion and Discussion --|tReferences --|g6.|tInstability of Solutions of Fourth and Fifth Order Delay Differential Equations / |rC. Tunc --|g6.1.|tIntroduction --|g6.2.|tOpen Problems - -|g6.3.|tConclusion --|tReferences --|g7.|tSome Conjectures About the Synchronizability and the Topology of Networks /|rS. Fernandes --|g7.1.|tIntroduction -- |g7.2.|tRelated and Historical Problems About Network Synchronizability --|g7.3.|tSome Physical Examples About the Real Applications of Network Synchronizability. 505 00 |g7.4.|tPreliminaries --|g7.5.|tComplete Clustered Networks --|g7.5.1.|tClustering Point on Complete Clustered Networks --|g7.5.2.|tClassification of the Clustering and the Amplitude of the Synchronization Interval --|g7.5.3.|tDiscussion --|g7.6.|tSymbolic Dynamics and Networks Synchronization --|tReferences -- |g8.|tWavelet Study of Dynamical Systems Using Partial Differential Equations /|rE.B. Postnikov --|g8.1. |tDefinitions and State of Art --|g8.2.|tOpen Problems in the Continuous Wavelet Transform and a Topology of Bounding Tori --|g8.3.|tEvaluation of the Continuous Wavelet Transform Using Partial Differential Equations in Non-Cartesian Co-ordinates and Multidimensional Case -- |g8.4.|tDiscussion of Open Problems --|tReferences --|g9. |tCombining the Dynamics of Discrete Dynamical Systems / |rJ.S. Canovas --|g9.1.|tIntroduction --|g9.2.|tBasic Definitions and Notations --|g9.3.|tStatement of the Problems --|g9.3.1.|tDynamic Parrondo's Paradox and Commuting Functions --|g9.3.2.|tDynamics Shared by Commuting Functions. 505 00 |g9.3.3.|tComputing Problems for Large Periods T -- |g9.3.4.|tCommutativity Problems --|g9.3.5. |tGeneralization to Continuous Triangular Maps on the Square --|tReferences --|g10.|tCode Structure for Pairs of Linear Maps with Some Open Problems /|rP. Troshin -- |g10.1.|tIntroduction --|g10.2.|tIterated Function System --|g10.3.|tAttractor of Pair of Linear Maps --|g10.4. |tCode Structure of Pair of Linear Maps --|g10.5. |tSufficient Conditions for Computing the Code Structure - -|g10.6.|tConclusion and Open Questions --|tReferences -- |g11.|tRecent Advances in Open Billiards with Some Open Problems /|rC.P. Dettmann --|g11.1.|tIntroduction -- |g11.2.|tClosed Dynamical Systems --|g11.3.|tOpen Dynamical Systems --|g11.4.|tOpen Billiards --|g11.5. |tPhysical Applications --|g11.6.|tDiscussion -- |tReferences --|g12.|tOpen Problems in the Dynamics of the Expression of Gene Interaction Networks /|rV. Naudot -- |g12.1.|tIntroduction --|g12.2.|tAttractors for Flows and Diffeomorphisms. 505 00 |g12.3.|tStatement of the Problem --|g12.3.1.|tA First Attempt --|g12.3.2.|tExamples --|g12.4.|tExperimental Information --|g12.5.|tTheoretical Models of Gene Interaction --|g12.6.|tConclusions --|tReferences --|g13. |tHow to Transform a Type of Chaos in Dynamical Systems? / |rJ.C. Sprott --|g13.1.|tIntroduction --|g13.2. |tHyperbolification of Dynamical Systems --|g13.3. |tTransforming Dynamical Systems to Lorenz-Type Chaos -- |g13.4.|tTransforming Dynamical Systems to Quasi-Attractor Systems --|g13.5.|tA Common Classification of Strange Attractors of Dynamical Systems --|tReferences. 520 This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Chaotic behavior in systems.|0https://id.loc.gov/ authorities/subjects/sh85022562 650 0 Dynamics.|0https://id.loc.gov/authorities/subjects/ sh85040316 650 7 Chaotic behavior in systems.|2fast|0https:// id.worldcat.org/fast/852171 650 7 Dynamics.|2fast|0https://id.worldcat.org/fast/900295 655 0 Electronic books. 655 4 Electronic books. 700 1 Zeraoulia, Elhadj,|0https://id.loc.gov/authorities/names/ nb2010024163|eeditor. 700 1 Sprott, Julien C.,|0https://id.loc.gov/authorities/names/ n80163145|eeditor. 776 08 |iPrint version:|tFrontiers in the study of chaotic dynamical systems with open problems.|dSingapore ; Hackensack, N.J. : World Scientific, ©2011|z9814340693 |w(OCoLC)697261743 830 0 World Scientific series on nonlinear science.|nSeries B, |pSpecial theme issues and proceedings ;|0https:// id.loc.gov/authorities/names/n94078562|vv. 16. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=389644|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160616|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID