Polynomial Functional Dynamical Systems
暫譯: 多項式函數動態系統

Luo, Albert C. J.

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商品描述

The book is about the global stability and bifurcation of equilibriums in polynomial functional systems. Appearing and switching bifurcations of simple and higher-order equilibriums in the polynomial functional systems are discussed, and such bifurcations of equilibriums are not only for simple equilibriums but for higher-order equilibriums. The third-order sink and source bifurcations for simple equilibriums are presented in the polynomial functional systems. The third-order sink and source switching bifurcations for saddle and nodes are also presented, and the fourth-order upper-saddle and lower-saddle switching and appearing bifurcations are presented for two second-order upper-saddles and two second-order lower-saddles, respectively. In general, the (2

商品描述(中文翻譯)

這本書探討了多項式函數系統中平衡點的全球穩定性與分岔。書中討論了多項式函數系統中簡單和平衡點的高階分岔現象及其轉換,這些分岔不僅適用於簡單平衡點,也適用於高階平衡點。書中介紹了多項式函數系統中簡單平衡點的三階沉點和源點分岔。此外,還介紹了鞍點和節點的三階沉點和源點轉換分岔,以及針對兩個二階上鞍點和兩個二階下鞍點的四階上鞍點和下鞍點的轉換與出現分岔。一般而言,(2