Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems (Record no. 85343)
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| fixed length control field | 04222nam a22005655i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-79669-2 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240730164138.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220601s2020 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031796692 |
| -- | 978-3-031-79669-2 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620 |
| 100 1# - AUTHOR NAME | |
| Author | Xing, Siyuan. |
| 245 10 - TITLE STATEMENT | |
| Title | Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIII, 73 p. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Synthesis Lectures on Mechanical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Preface -- Introduction -- A Semi-Analytical Method -- Periodic Motions in Time-Delay Systems -- A Global Sequential Scenario -- Frequency-Amplitude Analysis -- Global Sequential Periodic Motions -- Conclusive Remarks -- References -- Authors' Biographies. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy. The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by the period-doubling bifurcation. From finite Fourier series, harmonic amplitude and harmonic phases for periodic motions on the global bifurcation tree are obtained for frequency analysis. Numerical illustrations of periodic motions are given for complex periodic motions in global bifurcation trees. The rich dynamics of the 1-D, delayed, nonlinear dynamical system is presented. Such global sequential periodic motions to chaos exist in nonlinear dynamical systems. The frequency-amplitude analysis can be used for re-construction of analytical expression of periodic motions, which can be used for motion control in dynamical systems. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Luo, Albert C.J. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-79669-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2020. |
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| -- | text |
| -- | txt |
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| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
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| -- | 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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