Bifurcation Dynamics of a Damped Parametric Pendulum (Record no. 85338)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03974nam a22005655i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-79645-6 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240730164134.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220601s2020 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031796456 |
| -- | 978-3-031-79645-6 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620 |
| 100 1# - AUTHOR NAME | |
| Author | Guo, Yu. |
| 245 10 - TITLE STATEMENT | |
| Title | Bifurcation Dynamics of a Damped Parametric Pendulum |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 84 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 -- Discretization of a Parametric Pendulum -- Bifurcation Trees -- Harmonic Frequency-Amplitude Characteristics -- Non-Travelable Periodic Motions -- Travelable Periodic Motions -- References -- Authors' Biographies. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand the complex world. Even though the parametrically excited pendulum is one of the simplest nonlinear systems, until now, complex motions in such a parametric pendulum cannot be achieved. In this book, the bifurcation dynamics of periodic motions to chaos in a damped, parametrically excited pendulum is discussed. Complete bifurcation trees of periodic motions to chaos in the parametrically excited pendulum include: period-1 motion (static equilibriums) to chaos, and period-���� motions to chaos (���� = 1, 2, ···, 6, 8, ···, 12). The aforesaid bifurcation trees of periodic motions to chaos coexist in the same parameter ranges, which are very difficult to determine through traditional analysis. Harmonic frequency-amplitude characteristics of such bifurcation trees are also presented to show motion complexity and nonlinearity in such a parametrically excited pendulum system. The non-travelable and travelable periodic motions on the bifurcation trees are discovered. Through the bifurcation trees of travelable and non-travelable periodic motions, the travelable and non-travelable chaos in the parametrically excited pendulum can be achieved. Based on the traditional analysis, one cannot achieve the adequate solutions presented herein for periodic motions to chaos in the parametrically excited pendulum. The results in this book may cause one rethinking how to determine motion complexity in nonlinear dynamical systems. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Luo, Albert C.J. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-79645-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2020. |
| 336 ## - | |
| -- | text |
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| -- | rdacontent |
| 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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