000			nam a22 7a 4500
999			_c43466 _d43466
005			20181120145124.0
008			181017s1995 enka|||f |||| 00| 0 eng d
020			_a0521467829
020			_a9780521467817
040			_aCO-NeUS _bspa _erda
041			_heng
100	1	0	_9138019 _aNicolis, N. _eaut
245	1	0	_aIntroduction to nonlinear science / _cG. Nicolis.
250			_aFirst edition
264			_aCambridge ; _aNew York : _bCambridge University Press, _c1995
300			_axv, 254 pages. : _billustrations. ; _c26 cm.
336			_2rdacontent _atxt
337			_2rdamedia _an
338			_2rda _anc
347			_2rda
504			_aIncludes bibliographical references (p. 239-250) and index.
505			_aNonlinear behavior in the physical sciences and biology: some typical examples -- Quantitative formulation -- Dynamical systems with a finite number of degrees of freedom -- Linear stability analysis of fixed points -- Nonlinear behavior around fixed points: bifurcation analysis -- Spatially distributed systems, broken symmetries, pattern formation -- Chaotic dynamics.
520			_aThe aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications. Review: "...this book can be recommended to graduate students and researchers for independent study as well as being a basis for an advanced undergraduate course." Moshe Gitterman, Journal of Statistical Physics "What has been achieved is success in placing the key ideas involved within a wide framework involving many different parts of science. In this the author is to be congratulated..." Eric Renshaw, Bulletin of Mathematical Biology "Introduction to Nonlinear Science will be a very valuable addition to the libraries of serious nonlinear dynamics students, and the author is to be commended for making an important contribution to the field." D.T. Mook, Applied Mechanics Review
082	0	4	_221 _a500 / _bN644i
650		0	_9137642 _aNonlinear theories
650		0	_919308 _aTeorías no lineales
650		0	_9131081 _aScience
650		0	_95011 _aCiencia
650		0	_aChaotic behavior in systems _9102957
650		0	_919588 _aComportamiento caótico en sistemas
650		0	_9138020 _aNonlinear analysis
650		0	_9138021 _aAnálisis no lineal
650		0	_9138022 _aNonlinear science
650		0	_9138023 _aCiencia no lineal
942			_2ddc _cCG _h500 / N644i