Nonlinear dynamics: a primer
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...
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2001
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Links: | https://doi.org/10.1017/CBO9780511754050 |
Zusammenfassung: | 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 |
Umfang: | 1 Online-Ressource (xiii, 300 Seiten) |
ISBN: | 9780511754050 |
Internformat
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100 | 1 | |a Medio, Alfredo |d 1938- | |
245 | 1 | 0 | |a Nonlinear dynamics |b a primer |c Alfredo Medio, Marji Lines |
264 | 1 | |a Cambridge |b Cambridge University Press |c 2001 | |
300 | |a 1 Online-Ressource (xiii, 300 Seiten) | ||
336 | |b txt | ||
337 | |b c | ||
338 | |b cr | ||
520 | |a 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 | ||
700 | 1 | |a Lines, M. |d 1951- | |
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spelling | Medio, Alfredo 1938- Nonlinear dynamics a primer Alfredo Medio, Marji Lines Cambridge Cambridge University Press 2001 1 Online-Ressource (xiii, 300 Seiten) txt c cr 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 Lines, M. 1951- Erscheint auch als Druck-Ausgabe 9780521551861 Erscheint auch als Druck-Ausgabe 9780521558747 |
spellingShingle | Medio, Alfredo 1938- Nonlinear dynamics a primer |
title | Nonlinear dynamics a primer |
title_auth | Nonlinear dynamics a primer |
title_exact_search | Nonlinear dynamics a primer |
title_full | Nonlinear dynamics a primer Alfredo Medio, Marji Lines |
title_fullStr | Nonlinear dynamics a primer Alfredo Medio, Marji Lines |
title_full_unstemmed | Nonlinear dynamics a primer Alfredo Medio, Marji Lines |
title_short | Nonlinear dynamics |
title_sort | nonlinear dynamics a primer |
title_sub | a primer |
work_keys_str_mv | AT medioalfredo nonlineardynamicsaprimer AT linesm nonlineardynamicsaprimer |