幫助中心 | 我的帳號 | 關於我們
進階搜尋
car

同類熱銷排行榜

最近瀏覽的商品

多項式離散系統的分岔動力學(英文版)(精)/非線性物理科學

  • 作者：(美)羅朝俊|責編:吳曉麗
  • 出版社：高等教育
  • ISBN：9787040557831
  • 出版日期：2021/05/01
  • 裝幀：精裝
  • 頁數：430
人民幣：RMB 199 元      售價：元
放入購物車
加入收藏夾
內容大鋼
    本書是第一本關於一維多項式非線性離散系統分岔動力學的專著。本書給出了多項式非線性離散系統分岔的一般條件，全面討論了一維多項式離散系統中高階奇異不動點的出現和切換分岔，系統分析了倍周期分岔和單調鞍點分岔所產生的周期-1到混沌的分岔樹，提出了多項式離散系統的周期-2及全局倍周期重整化方法，並且首次確定了分岔樹上周期-n不動點的出現機理和相應的倍周期重整化。讀者將在書中看到非線性離散系統中妙趣橫生的研究結果。
    首先討論了一維線性離散動力系統不動點的穩定性。
    系統地討論了二次、三次、四次多項式的離散動力系統不動點的穩定性及解的複雜性。
    討論了2m次多項式和2m+1次多項式的離散動力系統不動點的穩定性及分岔的複雜性。
    展示了單調和振蕩的出現和切換分岔，包括單調和振蕩上下鞍點分岔、單調和振蕩源分岔、單調和振蕩匯分岔。
    首次提出了此類多項式離散系統的周期-2及全局倍周期重整化方法。
    首次確定了分岔樹上周期-n不動點的出現機理。
    給出了多項式離散系統通向混沌的解析表達式。
作者介紹
(美)羅朝俊|責編:吳曉麗
    羅朝俊教授為非線性動力學和力學領域國際知名學者，美國南伊利諾伊大學傑出研究講席教授，主要研究領域為哈密頓系統混沌、非線性變形體動力學、不連續動力系統、動力系統的穩定性和分岔理論、動力系統的同步與跟蹤理論、動力系統周期運動和混沌的解析解與半解析解、微分方程的解析解與數值解等。
目錄
1  Quadratic Nonlinear Discrete Systems
  1.1  Linear Discrete Systems
  1.2  Forward Quadratic Discrete Systems
    1.2.1  Period-1 Appearing Bifurcations
    1.2.2  Period-1 Switching Bifurcations
  1.3  Backward Quadratic Discrete Systems
    1.3.1  Backward Period-1 Appearing Bifurcations
    1.3.2  Backward Period-1 Switching Bifurcations
  1.4  Forward Bifurcation Trees
    1.4.1  Period-2 Appearing Bifurcations
    1.4.2  Period-Doubling Renormalization
    1.4.3  Period-n Appearing and Period-Doublization
    1.4.4  Period-n Bifurcation Trees
  1.5  Backward Bifurcation Trees
    1.5.1  Backward Period-2 Quadratic Discrete Systems
    1.5.2  Backward Period-Doubling Renormalization
    1.5.3  Backward Period-n Appearing and Period-Doublization
    1.5.4  Backward Period-n Bifurcation Trees
  References
2  Cubic Nonlinear Discrete Systems
  2.1  Period-1 Cubic Discrete Systems
  2.2  Period-1 to Period-2 Bifurcation Trees
  2.3  Higher-Order Period-1 Switching Bifurcations
  2.4  Direct Cubic Polynomial Discrete Systems
  2.5  Forward Cubic Discrete Systems
    2.5.1  Period-Doubled Cubic Discrete Systems
    2.5.2  Period-Doubling Renormalization
    2.5.3  Period-n Appearing and Period-Doublization
    2.5.4  Sampled Period-n Appearing Bifurcations
  2.6  Backward Cubic Nonlinear Discrete Systems
    2.6.1  Backward Period-2 Cubic Discrete Systems
    2.6.2  Backward Period-Doubling Renormalization
    2.6.3  Backward Period-n Appearing and Period-Doublization
  Reference
3  Quartic Nonlinear Discrete Systems
  3.1  Period-1 Appearing Bifurcations
  3.2  Period-1 to Period-2 Bifurcation Trees
  3.3  Higher-Order Period-1 Quartic Discrete Systems
  3.4  Period-1 Switching Bifurcations
    3.4.1  Simple Period-1 Switching Bifurcations
    3.4.2  Higher-Order Period-1 Switching Bifurcations
  3.5  Forward Quartic Discrete Systems
    3.5.1  Period-2 Quartic Discrete Systems
    3.5.2  Period-Doubling Renormalization
    3.5.3  Period-n Appearing and Period-Doublization
  3.6  Backward Quartic Discrete Systems
    3.6.1  Backward Period-2 Quartic Discrete Systems
    3.6.2  Backward Period-Doubling Renormalization
    3.6.3  Backward Period-n Appearing and Period-Doublization
  Reference

4  (2m)th-Degree Polynomial Discrete Systems
  4.1  Global Stability and Bifurcations
  4.2  Simple Fixed-Point Bifurcations
    4.2.1  Appearing Bifurcations
    4.2.2  Switching Bifurcations
    4.2.3  Switching-Appearing Bifurcations
  4.3  Higher-Order Fixed-Point Bifurcations
    4.3.1  Appearing Bifurcations
    4.3.2  Switching Bifurcations
    4.3.3  Switching-Appearing Bifurcations
  4.4  Forward Bifurcation Trees
    4.4.1  Period-Doubled (2m)th-Degree Polynomial Discrete Systems
    4.4.2  Renormalization and Period-Doubling
    4.4.3  Period-n Appearing and Period-Doublization
  References
5  (2m+1)th-Degree Polynomial Discrete Systems
  5.1  Global Stability and Bifurcations
  5.2  Simple Fixed-Point Bifurcations
    5.2.1  Appearing Bifurcations
    5.2.2  Switching Bifurcations
    5.2.3  Switching-Appearing Bifurcations
  5.3  Higher-Order Fixed-Point Bifurcations
    5.3.1  Higher-Order Fixed-Point Bifurcations
    5.3.2  Switching Bifurcations
    5.3.3  Switching-Appearing Bifurcations
  5.4  Forward Bifurcation Trees
    5.4.1  Period-Doubled (2m+1)th-Degree Polynomial Systems
    5.4.2  Renormalization and Period-Doubling
    5.4.3  Period-n Appearing and Period-Doublization
  References
Index

  • 商品搜索：
  • | 高級搜索
首頁│ 新手上路│ 客服中心│ 關於我們│ 聯絡我們│ Top↑│
Copyrightc 1999~2008 美商天龍國際圖書股份有限公司 臺灣分公司. All rights reserved.
營業地址:臺北市中正區重慶南路一段103號1F 105號1F-2F
讀者服務部電話：02-2381-2033 02-2381-1863　時間：週一-週五 10:00-17:00
　服務信箱：bookuu@69book.com 客戶、意見信箱:cs@69book.com
ICP證：浙B2-20060032