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Sharkovsky ordering

Blokh, Alexander M.

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Sharkovsky ordering

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sharkovsky ordering/ by Alexander M. Blokh, Oleksandr M. Sharkovsky.
Author:	Blokh, Alexander M.
other author:	Sharkovsky, Oleksandr M.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	viii, 109 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Combinatorial dynamics. -
Online resource:	https://doi.org/10.1007/978-3-030-99125-8
ISBN:	9783030991258

Sharkovsky ordering
Blokh, Alexander M.

Sharkovsky ordering[electronic resource] /by Alexander M. Blokh, Oleksandr M. Sharkovsky. - Cham :Springer International Publishing :2022. - viii, 109 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

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.

ISBN: 9783030991258

Standard No.: 10.1007/978-3-030-99125-8doiSubjects--Topical Terms:

888520
Combinatorial dynamics.

LC Class. No.: QA611.5 / .B56 2022

Dewey Class. No.: 515.352

Sharkovsky ordering
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245 1 0 $a Sharkovsky ordering $h [electronic resource] / $c by Alexander M. Blokh, Oleksandr M. Sharkovsky.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a viii, 109 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8201
505 0 $a 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.
520 $a 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.
650 0 $a Combinatorial dynamics. $3 888520
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Topology. $3 522026
650 2 4 $a Mathematical Physics. $3 1542352
700 1 $a Sharkovsky, Oleksandr M. $3 3606323
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950 $a Mathematics and Statistics (SpringerNature-11649)