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Sharkovsky Ordering

Sharkovsky Ordering
Catalogue Information
Field name Details
Dewey Class 515.39
Title Sharkovsky Ordering ( EBook/) / by Alexander M. Blokh, Oleksandr M. Sharkovsky.
Author Blokh, Alexander M.
Added Personal Name Sharkovsky, Oleksandr M.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2022.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details VIII, 109 p. 17 illus., 4 illus. in color. : online resource.
Series SpringerBriefs in Mathematics 2191-8201
ISBN 9783030991258
Summary Note 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.:
Contents note 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.
Mode of acces to digital resource Digital reproduction.-
Cham :
Springer International Publishing,
2022. -
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-99125-8
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