Periodic Motions to Chaos in a Spring-Pendulum System (Record no. 84683)
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fixed length control field | 03737nam a22005415i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-031-17883-2 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240730163514.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 230206s2023 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783031178832 |
-- | 978-3-031-17883-2 |
082 04 - CLASSIFICATION NUMBER | |
Call Number | 621 |
100 1# - AUTHOR NAME | |
Author | Guo, Yu. |
245 10 - TITLE STATEMENT | |
Title | Periodic Motions to Chaos in a Spring-Pendulum System |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. 2023. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XI, 104 p. 63 illus., 58 illus. in color. |
490 1# - SERIES STATEMENT | |
Series statement | Synthesis Lectures on Mechanical Engineering, |
505 0# - FORMATTED CONTENTS NOTE | |
Remark 2 | Preface -- Introduction -- Chapter 1 - A Semi-Analytical Method -- Chapter 2 - Discretization of a Spring-Pendulum -- Chapter 3 - Formulation for Periodic motions -- Chapter 4 - Period 1 motions to chaos varying with harmonic frequency -- Chapter 5 - Period 1 motions to chaos varying with harmonic amplitude -- Chapter 6 - Higher-order periodic motions to chaos -- References. |
520 ## - SUMMARY, ETC. | |
Summary, etc | This book builds on the fundamental understandings, learned in undergraduate engineering and physics in principles of dynamics and control of mechanical systems. The design of real-world mechanical systems and devices becomes far more complex than the spring-pendulum system to which most engineers have been exposed. The authors provide one of the simplest models of nonlinear dynamical systems for learning complex nonlinear dynamical systems. The book addresses the complex challenges of the necessary modeling for the design of machines. The book addresses the methods to create a mechanical system with stable and unstable motions in environments influenced by an array of motion complexity including varied excitation frequencies ranging from periodic motions to chaos. Periodic motions to chaos, in a periodically forced nonlinear spring pendulum system, are presented through the discrete mapping method, and the corresponding stability and bifurcations of periodic motions on the bifurcation trees are presented. Developed semi-analytical solutions of periodical motions to chaos help the reader to understand complex nonlinear dynamical behaviors in nonlinear dynamical systems. Especially, one can use unstable motions rather than stable motions only. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
General subdivision | Data processing. |
700 1# - AUTHOR 2 | |
Author 2 | Luo, Albert C. J. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-17883-2 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
264 #1 - | |
-- | Cham : |
-- | Springer Nature Switzerland : |
-- | Imprint: Springer, |
-- | 2023. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mechanical engineering. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Engineering mathematics. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Engineering |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Plasma waves. |
650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mechanical Engineering. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mathematical and Computational Engineering Applications. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Waves, instabilities and nonlinear plasma dynamics. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 2573-3176 |
912 ## - | |
-- | ZDB-2-SXSC |
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