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008			220601s2020 sz | o |||| 0|eng d
020			_a9783031796616
024	7		_a10.1007/978-3-031-79661-6 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aTP248.3 _b2020 EB
100	1		_aLuo, Albert C. J. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _998014
245	1	0	_aTowards Analytical Chaotic Evolutions in Brusselators _cby Albert C. J. Luo, Siyu Guo
250			_a1st edition 2020
264		1	_aCham _bSpringer International Publishing _c2020
300			_a1 recurso en línea (XIII, 94 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 -- Generalized Harmonic Balance Method -- Analytical Periodic Evolutions -- Analytical Routes to Chaotic Evolutions -- Independent Periodic Evolutions -- Production and Compensation -- References -- Authors' Biographies.
520			_aThe Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles. The dynamics of the Brusselator gives an oscillating reaction mechanism for an autocatalytic, oscillating chemical reaction. The Brusselator is a slow-fast oscillating chemical reaction system. The traditional analytical methods cannot provide analytical solutions of such slow-fast oscillating reaction, and numerical simulations cannot provide a full picture of periodic evolutions in the Brusselator. In this book, the generalized harmonic balance methods are employed for analytical solutions of periodic evolutions of the Brusselator with a harmonic diffusion. The bifurcation tree of period-1 motion to chaos of the Brusselator is presented through frequency-amplitude characteristics, which be measured in frequency domains. Two main results presented in this book are: • analytical routes of periodical evolutions to chaos and • independent period-(2𝑙 + 1) evolution to chaos. This book gives a better understanding of periodic evolutions to chaos in the slow-fast varying Brusselator system, and the bifurcation tree of period-1 evolution to chaos is clearly demonstrated, which can help one understand routes of periodic evolutions to chaos in chemical reaction oscillators. The slow-fast varying systems extensively exist in biological systems and disease dynamical systems. The methodology presented in this book can be used to investigate the slow-fast varying oscillating motions in biological systems and disease dynamical systems for a better understanding of how infectious diseases spread.
988			_aSynthesis Collection of Technology_2020
650		7	_2embne _9141960 _aReactores químicos
650		7	_2embne _9139994 _aReacciones químicas
700	1		_aGuo, Siyu _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9688034
776	0	8	_iPrinted edition: _z9783031796623
776	0	8	_iPrinted edition: _z9783031796609
776	0	8	_iPrinted edition: _z9783031796630
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79661-6 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b04/2023 _dz _eb _zSI