Polynomial functional dynamical systems / Albert C. J. Luo.
"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 simpl...
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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
[San Rafael, California] :
Morgan & Claypool Publishers,
[2021]
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| Series: | Synthesis lectures on mechanical engineering ;
#38. |
| Subjects: | |
| Online Access: | Springer Nature Synthesis Collection of Technology (R0) eBook Collection 2021 |
| Summary: | "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 are presented 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 dynamical systems can be constructed with polynomial algebraic structures, and the corresponding singularity and motion complexity can be easily determined."--Publisher's website. |
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| Physical Description: | 1 online resource (xiii, 151 pages) : illustrations. |
| ISBN: | 1636392199 1636392202 1636392210 3031797094 3031797108 9781636392196 9781636392202 9781636392219 9783031797095 9783031797101 |
| ISSN: | 2573-3176 ; |