Bifurcation dynamics in polynomial discrete systems

書誌事項

Bifurcation dynamics in polynomial discrete systems

Albert C.J. Luo

(Nonlinear physical science)

Springer , Higher Education Press, c2020

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注記

"Jointly published with Higher Education Press"--T.p. verso

Includes bibliographical references and index

内容説明・目次

内容説明

This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems.

目次

Quadratic Nonlinear Discrete Systems.- Cubic Nonlinear Discrete Systems.- Quartic Nonlinear Discrete Systems.- (2m)th-degree Polynomial Discrete Systems.- (2m+1)th-degree polynomial discrete systems.- Subject index.

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詳細情報

  • NII書誌ID(NCID)
    BC04952093
  • ISBN
    • 9789811552076
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore,[Beijing]
  • ページ数/冊数
    xi, 430 p.
  • 大きさ
    25 cm
  • 親書誌ID
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