| 書目名稱 | Polynomial Functional Dynamical Systems | | 編輯 | Albert C. J. Luo | | 視頻video | http://file.papertrans.cn/752/751342/751342.mp4 | | 叢書名稱 | Synthesis Lectures on Mechanical Engineering | | 圖書封面 |  | | 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???? + 1)th-order sink and source switching bifurcations for (2????????)th-order saddles and (2???????? +1)-order nodes are also presented, and the (2????)th-order upper-saddle and lower-saddle switching and appearing bifurcations arepresented for (2????????)th-order upper-saddles and (2????????)th-order lower-saddles (????, ???? = 1,2,…). The vector fields in nonlinear dynamical systems are polynomial functional. Complex dynamica | | 出版日期 | Book 2021 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-79709-5 | | isbn_softcover | 978-3-031-79708-8 | | isbn_ebook | 978-3-031-79709-5Series ISSN 2573-3168 Series E-ISSN 2573-3176 | | issn_series | 2573-3168 | | copyright | Springer Nature Switzerland AG 2021 |
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