Polynomial Functional Dynamical Systems (Record no. 85350)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03710nam a22005535i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-79709-5 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240730164143.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220601s2021 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031797095 |
| -- | 978-3-031-79709-5 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620 |
| 100 1# - AUTHOR NAME | |
| Author | Luo, Albert. |
| 245 10 - TITLE STATEMENT | |
| Title | Polynomial Functional Dynamical Systems |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIII, 151 p. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Synthesis Lectures on Mechanical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Preface -- Linear Functional Systems -- Quadratic Nonlinear Functional Systems -- Cubic Nonlinear Functional Systems -- Quartic Nonlinear Functional Systems -- (2??)th-Degree Polynomial Functional Systems -- (2??+1)th-Degree Polynomial Functional Systems -- Author's Biography. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 dynamical systems can be constructed with polynomial algebraic structures, and the corresponding singularity and motion complexity can be easily determined. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-79709-5 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2021. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering design. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microtechnology. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microelectromechanical systems. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Technology and Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical and Electronic Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Design. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Microsystems and MEMS. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2573-3176 |
| 912 ## - | |
| -- | ZDB-2-SXSC |
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