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[null,"1.","Record Nr.",null,"UNISA996490347503316"]
[null,null,"Autore",null,"Blokh Alexander M. <1958->"]
[null,null,"Titolo",null,"Sharkovsky ordering / / Alexander M. Blokh and Oleksandr M. Sharkovsky"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"3-030-99125-3"]
[null,null,"Descrizione fisica",null,"1 online resource (114 pages)"]
[null,null,"Collana",null,"SpringerBriefs in mathematics"]
[null,null,"Disciplina",null,"514.322"]
[null,null,"Soggetti",null,"Combinatorial dynamics"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Dynamics - Mathematics"]
[{"$nulls":4},"Dinàmica combinatòria"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- 1 Coexistence of Cycles for Continuous Interval Maps -- 1.1 Introduction -- 1.2 Proof of Forcing Sh-Theorem -- 1.2.1 Loops of Intervals Force Periodic Orbits -- 1.2.2 The Beginning of the Sh-order -- 1.2.3 Three Implies Everything -- 1.2.4 Minimal Cycles Imply Sh-weaker Periods -- 1.2.5 Orbits with Sh-strongest Periods Form Simplest Cycles -- 1.3 Proof of Realization Sh-Theorem -- 1.4 Stability of the Sh-ordering -- 1.5 Visualization of the Sh-ordering -- References -- 2 Combinatorial Dynamics on the Interval -- 2.1 Introduction -- 2.2 Permutations: Refinement of Cycles' Coexistence -- 2.3 Rotation Theory -- 2.4 Coexistence of Homoclinic Trajectories and Stratification of the Space of Maps -- 2.4.1 Homoclinic Trajectories, Horseshoes, and L-Schemes -- 2.4.2 Coexistence (of Homoclinic Trajectories) and Its Stability: Powers of Maps with L-Scheme and Homoclinic Trajectories -- References -- 3 Coexistence of Cycles for One-Dimensional Spaces -- 3.1 Circle Maps -- 3.2 Maps of the nn-od -- 3.3 Other Graph Maps -- 3.3.1 Graph-Realizable Sets of Periods -- 3.3.2 Trees -- 3.3.3 Graphs With Exactly One Loop -- 3.3.4 Figure Eight Graph -- References -- 4 Multidimensional Dynamical Systems -- 4.1 Triangular Maps -- 4.2 Cyclically Permuting Maps -- 4.3 Multidimensional Perturbations of One-Dimensional Maps -- 4.4 Infinitely-Dimensional Dynamical Systems, Generated by One-"]
[{"$nulls":4},"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."]