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001449416 001__ 1449416
001449416 003__ OCoLC
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001449416 019__ $$a1343946096
001449416 020__ $$a9783030991258$$q(electronic bk.)
001449416 020__ $$a3030991253$$q(electronic bk.)
001449416 020__ $$z3030991237
001449416 020__ $$z9783030991234
001449416 0247_ $$a10.1007/978-3-030-99125-8$$2doi
001449416 035__ $$aSP(OCoLC)1344159683
001449416 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP$$dOCLCQ$$dOCLCF$$dSFB$$dOCLCQ
001449416 049__ $$aISEA
001449416 050_4 $$aQA611.5
001449416 08204 $$a515/.352$$223/eng/20220915
001449416 1001_ $$aBlokh, Alexander M.,$$d1958-
001449416 24510 $$aSharkovsky ordering /$$cAlexander M. Blokh, Oleksandr M. Sharkovsky.
001449416 260__ $$aCham :$$bSpringer,$$c2022.
001449416 300__ $$a1 online resource (114 pages)
001449416 336__ $$atext$$btxt$$2rdacontent
001449416 337__ $$acomputer$$bc$$2rdamedia
001449416 338__ $$aonline resource$$bcr$$2rdacarrier
001449416 4901_ $$aSpringerBriefs in Mathematics
001449416 504__ $$aIncludes bibliographical references.
001449416 5050_ $$aIntro -- Preface -- Contents -- 1 Coexistence of Cycles for Continuous Interval Maps -- 1.1 Introduction -- 1.2 Proof of Forcing Sh-Theorem -- 1.2.1 Loops of Intervals Force Periodic Orbits -- 1.2.2 The Beginning of the Sh-order -- 1.2.3 Three Implies Everything -- 1.2.4 Minimal Cycles Imply Sh-weaker Periods -- 1.2.5 Orbits with Sh-strongest Periods Form Simplest Cycles -- 1.3 Proof of Realization Sh-Theorem -- 1.4 Stability of the Sh-ordering -- 1.5 Visualization of the Sh-ordering -- References -- 2 Combinatorial Dynamics on the Interval -- 2.1 Introduction
001449416 5058_ $$a2.2 Permutations: Refinement of Cycles' Coexistence -- 2.3 Rotation Theory -- 2.4 Coexistence of Homoclinic Trajectories and Stratification of the Space of Maps -- 2.4.1 Homoclinic Trajectories, Horseshoes, and L-Schemes -- 2.4.2 Coexistence (of Homoclinic Trajectories) and Its Stability: Powers of Maps with L-Scheme and Homoclinic Trajectories -- References -- 3 Coexistence of Cycles for One-Dimensional Spaces -- 3.1 Circle Maps -- 3.2 Maps of the nn-od -- 3.3 Other Graph Maps -- 3.3.1 Graph-Realizable Sets of Periods -- 3.3.2 Trees -- 3.3.3 Graphs With Exactly One Loop
001449416 5058_ $$a3.3.4 Figure Eight Graph -- References -- 4 Multidimensional Dynamical Systems -- 4.1 Triangular Maps -- 4.2 Cyclically Permuting Maps -- 4.3 Multidimensional Perturbations of One-Dimensional Maps -- 4.4 Infinitely-Dimensional Dynamical Systems, Generated by One-Dimensional Maps -- 4.5 Final Remarks -- 4.5.1 Multivalued Maps -- 4.5.2 Nonlinear Difference Equations -- References -- 5 Historical Remarks -- Appendix Appendix -- A.1 The Copy of the First Page of the Paper From 1964 -- A.2 The Copy of the Last Page of the Paper From 1964 -- A.3 Translation of the Original Paper From 1964
001449416 506__ $$aAccess limited to authorized users.
001449416 520__ $$aThis book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval and multidimensional dynamical systems. Also featured is a short chapter of personal remarks by O.M. Sharkovsky on the history of the Sharkovsky ordering, the discovery of which almost 60 years ago led to the inception of combinatorial dynamics. Now one of cornerstones of dynamics, bifurcation theory and chaos theory, the Sharkovsky ordering is an important tool for the investigation of dynamical processes in nature. Assuming only a basic mathematical background, the book will appeal to students, researchers and anyone who is interested in the subject.
001449416 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 15, 2022).
001449416 650_0 $$aCombinatorial dynamics.
001449416 655_0 $$aElectronic books.
001449416 655_7 $$aLlibres electrònics.$$2thub
001449416 7001_ $$aSharkovsky, Oleksandr M.
001449416 77608 $$iPrint version:$$aBlokh, Alexander M.$$tSharkovsky Ordering.$$dCham : Springer International Publishing AG, ©2022$$z9783030991234
001449416 830_0 $$aSpringerBriefs in mathematics.
001449416 852__ $$bebk
001449416 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-99125-8$$zOnline Access$$91397441.1
001449416 909CO $$ooai:library.usi.edu:1449416$$pGLOBAL_SET
001449416 980__ $$aBIB
001449416 980__ $$aEBOOK
001449416 982__ $$aEbook
001449416 983__ $$aOnline
001449416 994__ $$a92$$bISE