Sharkovsky ordering

Sharkovsky ordering

by Blokh, Alexander M.

Type Book
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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 c…

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Title Statements

  • Full title :Sharkovsky ordering / Alexander M. Blokh, Oleksandr M. Sharkovsky.

Summary

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.

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Edition Statements

  • Publication Date:2022

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Cham, Switzerland
  • Language:eng
  • Publication Date:2022

The Physical Object

  • Description:viii, 109 pages : : illustrations ; : 24 cm.

Edition Identifiers

  • ISBN:3030991237, 9783030991234
  • oclc:on1302741018
  • LC Classification:QA611.5
  • Dewey Decimal:514/.32

Subjects

Combinatorial dynamics Differential equations Dynamics -- Mathematics

Writers

Blokh, Alexander M. Sharkovsky, Oleksandr M.

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