03232nam 22006975 450 991059103350332120251009100200.03-030-99125-310.1007/978-3-030-99125-8(MiAaPQ)EBC7080724(Au-PeEL)EBL7080724(CKB)24782713200041(PPN)264955579(DE-He213)978-3-030-99125-8(OCoLC)1344159683(EXLCZ)992478271320004120220905d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSharkovsky Ordering /by Alexander M. Blokh, Oleksandr M. Sharkovsky1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (114 pages)SpringerBriefs in Mathematics,2191-8201Print version: Blokh, Alexander M. Sharkovsky Ordering Cham : Springer International Publishing AG,c2022 9783030991234 Includes bibliographical references.Preface -- 1 Coexistence of Cycles for Continuous Interval Maps -- 2 Combinatorial Dynamics on the Interval -- 3 Coexistence of Cycles for One-dimensional Spaces -- 4 Multidimensional Dynamical Systems -- 5 Historical Remarks -- 6 Appendix.This 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.SpringerBriefs in Mathematics,2191-8201DynamicsDifference equationsFunctional equationsTopologyMathematical physicsDynamical SystemsDifference and Functional EquationsTopologyMathematical PhysicsDynamics.Difference equations.Functional equations.Topology.Mathematical physics.Dynamical Systems.Difference and Functional Equations.Topology.Mathematical Physics.514.322515.35Blokh Alexander M.1958-1154927Sharkovsky Oleksandr M.MiAaPQMiAaPQMiAaPQBOOK9910591033503321Sharkovsky ordering3005041UNINA