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＜E-Book＞
Sharkovsky Ordering / by Alexander M. Blokh, Oleksandr M. Sharkovsky
(SpringerBriefs in Mathematics. ISSN:21918201)

Edition	1st ed. 2022.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2022
Size	VIII, 109 p. 17 illus., 4 illus. in color : online resource
Authors	*Blokh, Alexander M author Sharkovsky, Oleksandr M author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Difference equations LCSH:Functional equations LCSH:Topology LCSH:Mathematical physics FREE:Dynamical Systems FREE:Difference and Functional Equations FREE:Topology FREE:Mathematical Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-99125-8

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