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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
Links to Related Works
Subject References:
Difference and Functional Equations
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Difference equations
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Dynamical Systems
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Functional equations
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Mathematical Physics
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Topology
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Authors:
author
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Blokh, Alexander M.
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Sharkovsky, Oleksandr M.
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Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
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Classification:
515.39
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