Periodic Flows to Chaos in Time-delay Systems (Record no. 77092)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03350nam a22005895i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-42664-8 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801215101.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160917s2017 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319426648 |
| -- | 978-3-319-42664-8 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515.39 |
| 100 1# - AUTHOR NAME | |
| Author | Luo, Albert C. J. |
| 245 10 - TITLE STATEMENT | |
| Title | Periodic Flows to Chaos in Time-delay Systems |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | X, 198 p. 30 illus., 15 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Nonlinear Systems and Complexity, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Linear Time-delay Systems -- Nonlinear Time-delay System -- Periodic Flows in Time-delay Systems -- Quasiperiodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems. Facilitates discovery of analytical solutions of nonlinear time-delay systems; Illustrates bifurcation trees of periodic motions to chaos; Helps readers identify motion complexity and singularity; Explains procedures for determining stability, bifurcation and chaos. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-42664-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 100 1# - AUTHOR NAME | |
| -- | (orcid)0000-0001-8208-6108 |
| -- | https://orcid.org/0000-0001-8208-6108 |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2017. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear theories. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | System theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Applied Dynamical Systems. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Complex Systems. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2196-0003 ; |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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