000 02758fam a2200373 a 4500
001 1571826
005 20170822174737.0
008 940330s1995 enka b 001 0 eng
010 _a 94015302
020 _a0521462282
020 _a0521467829 (pbk.)
035 _a(OCoLC)30319767
035 _a(OCoLC)ocm30319767
035 _a(NNC)1571826
040 _aDLC
_cBSU
_dNNC
_dOrLoB
050 0 0 _aQ172
_b.N53 1995
082 0 0 _a500NIC
_220
100 1 _aNicolis, G.,
_d1939-
_96547
245 1 0 _aIntroduction to nonlinear science /
_cG. Nicolis.
260 _aCambridge ;
_aNew York :
_bCambridge University Press,
_c1995.
263 _a9505
300 _axv, 254 p. :
_bill. ;
_c26 cm.
504 _aIncludes bibliographical references (p. 239-150) and index.
505 0 0 _g1.
_tNonlinear behavior in the physical sciences and biology: some typical examples --
_g2.
_tQuantitative formulation --
_g3.
_tDynamical systems with a finite number of degrees of fredom --
_g4.
_tLinear stability analysis of fixed points --
_g5.
_tNonlinear behavior around fixed points: bifurcation analysis --
_g6.
_tSpatially distributed systems, broken symmetries, pattern formation --
_g7.
_tChaotic dynamics --
_tApp. A1: Proof of the principle of linearized stability for one-variable systems --
_tApp. A2: Hopf bifurcation analysis of the Brusselator model.
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.
520 8 _aNonlinear 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.
520 8 _aSpecial effort has been made throughout the book to illustrate the development of the subject by physical examples and prototypical experiments, and the mathematical techniques by reference to simple models. Each chapter concludes with a set of problems.
520 8 _a. 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, as well as to researchers and teachers involved in one way or another in this field.
650 0 _aScience.
_96548
650 0 _aNonlinear theories.
_96549
658 _aScience
900 _bTOC
942 _2ddc
_cBK
999 _c3207
_d3207