A Smooth and Discontinuous Oscillator (Record no. 79999)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04215nam a22006015i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-662-53094-8 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801221734.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160927s2017 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783662530948 |
| -- | 978-3-662-53094-8 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.3 |
| 100 1# - AUTHOR NAME | |
| Author | Cao, Qingjie. |
| 245 12 - TITLE STATEMENT | |
| Title | A Smooth and Discontinuous Oscillator |
| Sub Title | Theory, Methodology and Applications / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIX, 262 p. 131 illus., 54 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Springer Tracts in Mechanical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Background: Nonlinear Systems -- An Smooth and Discontinuous (SD) Oscillator -- Bifurcation Behaviour -- Periodic Motions of the Perturbed SD Oscillator -- The Exact Solutions -- Chaotic Motions of the SD Oscillator -- Experimental Investigation of the SD Oscillator -- Applications in Structural Dynamics -- Applications in Engineering Isolation -- Challenges and the Open Problems. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further milestone in nonlinear dynamics, following on the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963. This particular system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. However, there is a substantial departure in nonlinear dynamics from standard dynamics at the discontinuous stage. The constructed irrational elliptic function series, which offers a way to directly approach the nature dynamics analytically for both smooth and discontinuous behaviours including the unperturbed periodic motions and th e perturbed chaotic attractors without any truncation, is of particular interest. Readers will also gain a deeper understanding of the actual nonlinear phenomena by means of a simple mechanical model: the theory, methodology, and the applications in various interlinked disciplines of sciences and engineering. This book offers a valuable resource for researchers, professionals and postgraduate students in mechanical engineering, non-linear dynamics, and related areas, such as nonlinear modelling in various fields of mathematics, physics and the engineering sciences. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Léger, Alain. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-662-53094-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg : |
| -- | 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 | |
| -- | Multibody systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Vibration. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical models. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody Systems and Mechanical Vibrations. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Classical Mechanics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Modeling and Industrial Mathematics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2195-9870 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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