Polynomial Functional Dynamical Systems

English | 2021 | ISBN: 1636392199 , 978-1636392196 | 167 pages | True PDF | 6.99 MB
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