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101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNonlinear dynamics $ea primer /$fAlfredo Medio, Marji Lines
205   $a1st ed.
210   $aCambridge ;$aNew York $cCambridge University Press$d2001
215   $a1 online resource (xiii, 300 pages) $cdigital, PDF file(s)
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-55186-2 
311   $a0-511-01604-2 
320   $aIncludes bibliographical references (p. 287-293) and index.
327   $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.
330   $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
606   $aDifferentiable dynamical systems
606   $aNonlinear theories
615  0$aDifferentiable dynamical systems.
615  0$aNonlinear theories.
676   $a515/.352
700   $aMedio$b Alfredo$f1938-$077815
701   $aLines$b M$g(Marji),$f1951-$0118964
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910808491103321
996   $aNonlinear dynamics$937892
997   $aUNINA