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008			220601s2021 sz | s |||| 0|eng d
020			_a9783031797095
024	7		_a10.1007/978-3-031-79709-5 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA380 _b2021 EB
100	1		_aLuo, Albert C. J. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _998014
245	1	0	_aPolynomial Functional Dynamical Systems _cby Albert Luo
250			_a1st edition 2021
264		1	_aCham _bSpringer International Publishing _c2021
300			_a1 recurso en línea (XIII, 151 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 -- Linear Functional Systems -- Quadratic Nonlinear Functional Systems -- Cubic Nonlinear Functional Systems -- Quartic Nonlinear Functional Systems -- (2??)th-Degree Polynomial Functional Systems -- (2??+1)th-Degree Polynomial Functional Systems -- Author's Biography.
520			_aThe book is about the global stability and bifurcation of equilibriums in polynomial functional systems. Appearing and switching bifurcations of simple and higher-order equilibriums in the polynomial functional systems are discussed, and such bifurcations of equilibriums are not only for simple equilibriums but for higher-order equilibriums. The third-order sink and source bifurcations for simple equilibriums are presented in the polynomial functional systems. The third-order sink and source switching bifurcations for saddle and nodes are also presented, and the fourth-order upper-saddle and lower-saddle switching and appearing bifurcations are presented for two second-order upper-saddles and two second-order lower-saddles, respectively. In general, the (2���� + 1)th-order sink and source switching bifurcations for (2��������)th-order saddles and (2�������� +1)-order nodes are also presented, and the (2����)th-order upper-saddle and lower-saddle switching and appearing bifurcations are presented for (2��������)th-order upper-saddles and (2��������)th-order lower-saddles (����, ���� = 1,2,...). The vector fields in nonlinear dynamical systems are polynomial functional. Complex dynamical systems can be constructed with polynomial algebraic structures, and the corresponding singularity and motion complexity can be easily determined.
988			_aSynthesis Collection of Technology_2021
650		7	_2embne _9669509 _aPolinomios
650		7	_2embne _9138903 _aDinámica
650		7	_2embne _9164134 _aEstabilidad
776	0	8	_iPrinted edition: _z9783031797101
776	0	8	_iPrinted edition: _z9783031797088
776	0	8	_iPrinted edition: _z9783031797118
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79709-5 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b04/2023 _dz _esc _zSI