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008			161219s2017 sz ob 001 0 eng d
020			_a3319478370 _q(electronic bk.)
020			_a9783319478371 _q(electronic bk.)
020			_z3319478362
020			_z9783319478364 _q(print)
035			_a(OCoLC)966429398 _z(OCoLC)966870542 _z(OCoLC)974649515 _z(OCoLC)1005794363 _z(OCoLC)1011906265
040			_aN$T _cN$T _dIDEBK _dGW5XE _dYDX _dOCLCF _dN$T _dAZU _dUAB _dCOO _dCNCGM _dUPM _dIOG _dESU _dJBG _dIAD _dICW _dICN _dOTZ _dOCLCQ _dVT2 _dU3W _dES-MaUEC _bspa
050		4	_aQ172.5.C45 _bE437 2017 EB
100	1		_aElaskar, Sergio, _eautor
245	1	0	_aNew advances on chaotic intermittency and its applications _cSergio Elaskar, Ezequiel del Río.
264		1	_aCham, Switzerland _bSpringer _c[2017]
300			_a1 recurso en línea
336			_aTexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_atext file _bPDF _2rda
500			_aSpringerLink _bSpringer Engineering eBooks 2017 English+International
504			_aIncluye referencias bibliográficas e índice
505	0		_aChapter 1: Introduction to chaotic intermittency -- Chapter 2: Other types of intermittency and some recent advances in the study of chaotic intermittency -- Chapter 3: Some applications of the chaotic Intermittency -- Chapter 4: Classical theory about noise effects in chaotic intermittency -- Chapter 5: New formulation of the chaotic intermittency -- Chapter 6: New formulation of the noise effects in chaotic intermittency -- Chapter 7: Application of the new formulation to pathological cases -- Chapter 8: Application to dynamical systems. An example with discontinuous RPD: the derivative nonlinear Schrodinger equation -- Chapter 9: Evaluation of the intermittency statistical properties using the Perron-Frobenius operator.
520	3		_aOne of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
650		7	_aComportamiento caótico en sistemas _2embne _0(OCoLC)fst00852171 _0 _9152776
700	1		_aDel Río, Ezequiel, _eautor
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-3-319-47837-1 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988			_aEBOOK, asignarmaterias, EBSPRINGER_2017B
998			_b02/2018 _dz _e- _zSI
999			_c95054 _d95054 _x1