Qualitative methods in continuous and discrete dynamical systems ; Springer proceedings in complexity
In: Qualitative theory of dynamical systems, tools and applications for economic modelling: lectures given at the COST training school on new economic complex geography at Urbino, Italy, 17-19 September 2015; 159; Bischi, Gian Italo; Panchuk, Anastasiia; Radi, Davide; ISI - WOS:000389714900001; Bischi Gian Italo, Lamantia Fabio, Radi Davide (2016), Qualitative methods in continuous and discrete dynamical systems. In: Bischi Gian Italo, Panchuk Anastasiia, Radi Davide, eds., Qualitative theory of dynamical systems, tools and applications for economic modelling: lectures given at the COST training school on new economic complex geography at Urbino, Italy, 17-19 September 2015. (Springer proceedings in complexity). Cham: Springer, p. 1-159. ISBN 978-3-319-33274-1. E-ISBN 978-3-319-33276-5. DOI 10.1007/978-3-319-33276-5_1.
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Zugriff:
This chapter gives a general and friendly overview to the qualitative theory of continuous and discrete dynamical systems, as well as some applications to simple dynamic economic models, and is concluded by a section on basic principles and results of optimal control in continuous time, with some simple applications. The chapter aims to introduce some general concepts, notations and a minimal vocabulary concerning the study of the mathematical theory of dynamical systems that are used in the other chapters of the book. In particular, concepts like stability, bifurcations (local and global), basins of attraction, chaotic dynamics, noninvertible maps and critical sets are defined, and their applications are presented in the following sections both in continuous time and discrete time, as well as a brief introduction to optimal control together with some connections to the qualitative theory of dynamical systems and applications in economics.
| Titel: |
Qualitative methods in continuous and discrete dynamical systems ; Springer proceedings in complexity
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| Autor/in / Beteiligte Person: | Bischi, Gian Italo ; Lamantia, Fabio ; Radi, Davide |
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| Quelle: | Qualitative theory of dynamical systems, tools and applications for economic modelling: lectures given at the COST training school on new economic complex geography at Urbino, Italy, 17-19 September 2015; 159; Bischi, Gian Italo; Panchuk, Anastasiia; Radi, Davide; ISI - WOS:000389714900001; Bischi Gian Italo, Lamantia Fabio, Radi Davide (2016), Qualitative methods in continuous and discrete dynamical systems. In: Bischi Gian Italo, Panchuk Anastasiia, Radi Davide, eds., Qualitative theory of dynamical systems, tools and applications for economic modelling: lectures given at the COST training school on new economic complex geography at Urbino, Italy, 17-19 September 2015. (Springer proceedings in complexity). Cham: Springer, p. 1-159. ISBN 978-3-319-33274-1. E-ISBN 978-3-319-33276-5. DOI 10.1007/978-3-319-33276-5_1. |
| Veröffentlichung: | Springer ; CHE ; Cham, 2016 |
| Medientyp: | unknown |
| ISBN: | 978-3-319-33274-1 (print) ; 978-3-319-33276-5 (print) ; 3-319-33274-0 (print) ; 3-319-33276-7 (print) |
| ISSN: | 2213-8684 (print) |
| DOI: | 10.1007/978-3-319-33276-5_1 |
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