000 02670nam a22003618i 4500
001 CR9780511754050
003 UkCbUP
005 20200124160330.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100422s2001||||enk o ||1 0|eng|d
020 _a9780511754050 (ebook)
020 _z9780521551861 (hardback)
020 _z9780521558747 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.8
_b.M428 2001
082 0 0 _a515/.352
_221
100 1 _aMedio, Alfredo,
_d1938-
_eauthor.
245 1 0 _aNonlinear dynamics :
_ba primer /
_cAlfredo Medio, Marji Lines.
264 1 _aCambridge :
_bCambridge University Press,
_c2001.
300 _a1 online resource (xiii, 300 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aStatics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes.
520 _aA systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources
650 0 _aDifferentiable dynamical systems.
650 0 _aNonlinear theories.
700 1 _aLines, M.
_q(Marji),
_d1951-
_eauthor.
776 0 8 _iPrint version:
_z9780521551861
856 4 0 _uhttps://doi.org/10.1017/CBO9780511754050
999 _c522503
_d522501