000 | 04215nam a22006015i 4500 | ||
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001 | 978-3-662-53094-8 | ||
003 | DE-He213 | ||
005 | 20220801221734.0 | ||
007 | cr nn 008mamaa | ||
008 | 160927s2017 gw | s |||| 0|eng d | ||
020 |
_a9783662530948 _9978-3-662-53094-8 |
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024 | 7 |
_a10.1007/978-3-662-53094-8 _2doi |
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050 | 4 | _aTA352-356 | |
072 | 7 |
_aTGMD4 _2bicssc |
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_aTGMD _2thema |
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_a620.3 _223 |
100 | 1 |
_aCao, Qingjie. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _957704 |
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245 | 1 | 2 |
_aA Smooth and Discontinuous Oscillator _h[electronic resource] : _bTheory, Methodology and Applications / _cby Qingjie Cao, Alain Léger. |
250 | _a1st ed. 2017. | ||
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2017. |
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300 |
_aXIX, 262 p. 131 illus., 54 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSpringer Tracts in Mechanical Engineering, _x2195-9870 |
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505 | 0 | _aBackground: 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 | _aThis 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. | ||
650 | 0 |
_aMultibody systems. _96018 |
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650 | 0 |
_aVibration. _96645 |
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650 | 0 |
_aMechanics, Applied. _93253 |
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650 | 0 |
_aNonlinear Optics. _911414 |
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650 | 0 |
_aMechanics. _98758 |
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650 | 0 |
_aMathematical models. _94632 |
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650 | 1 | 4 |
_aMultibody Systems and Mechanical Vibrations. _932157 |
650 | 2 | 4 |
_aNonlinear Optics. _911414 |
650 | 2 | 4 |
_aClassical Mechanics. _931661 |
650 | 2 | 4 |
_aMathematical Modeling and Industrial Mathematics. _933097 |
700 | 1 |
_aLéger, Alain. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _957705 |
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710 | 2 |
_aSpringerLink (Online service) _957706 |
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773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783662530924 |
776 | 0 | 8 |
_iPrinted edition: _z9783662530931 |
776 | 0 | 8 |
_iPrinted edition: _z9783662571101 |
830 | 0 |
_aSpringer Tracts in Mechanical Engineering, _x2195-9870 _957707 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-662-53094-8 |
912 | _aZDB-2-ENG | ||
912 | _aZDB-2-SXE | ||
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