Format:
1 Online-Ressource (xiii, 300 pages)
,
digital, PDF file(s)
ISBN:
9780511754050
Content:
A 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
Content:
Statics 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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521551861
Additional Edition:
ISBN 9780521558747
Additional Edition:
Print version ISBN 9780521551861
Language:
English
Subjects:
Economics
,
Mathematics
DOI:
10.1017/CBO9780511754050
URL:
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