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007			cr nn 008mamaa
008			230504s2020 sz | s |||| 0|eng d
020			_a9783031796456
024	7		_a10.1007/978-3-031-79645-6 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA862 .P4 _b2020 EB
100	1		_aGuo, Yu _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9688359 _d1984-
245	1	0	_aBifurcation Dynamics of a Damped Parametric Pendulum _cby Yu Guo, Albert C. J. Luo
250			_a1st edition 2020
264		1	_aCham _bSpringer International Publishing _c2020
300			_a1 recurso en línea (XIV, 84 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mechanical Engineering _x2573-3176
505	0		_aPreface -- 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			_aThe 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.
988			_aSynthesis Collection of Technology_2020
650		7	_2embne _9686994 _aPéndulo
650		7	_2embne _9666962 _aEcuaciones diferenciales no lineales _xSoluciones numéricas
700	1		_aLuo, Albert C. J. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _998014
776	0	8	_iPrinted edition: _z9783031796463
776	0	8	_iPrinted edition: _z9783031796449
776	0	8	_iPrinted edition: _z9783031796470
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79645-6 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b05/2023 _dz _eIG _zSI