Editors:
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Complexity (SPCOM)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (7 papers)
-
Front Matter
-
Back Matter
About this book
The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling.
Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been incontinuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems.
The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.
Keywords
- COST Action IS1104
- Complex Economic Geography
- Complex Economic Systems
- Continuous-time Dynamical Systems
- Discrete-time Dynamical Systems
- Decision-driven Evolving Systems
- Dynamical Systems and Optimal Control
- Economic Dynamics
- Event-driven Evolving Systems
- Geocomplexity Proceedings
- Nonlinear Socioeconomic Dynamics
- Regional and Spatial Economics
- data-driven science, modeling and theory building
Editors and Affiliations
-
Università di Urbino "Carlo Bo", Urbino, Italy
Gian Italo Bischi
-
National Academy of Sciences of Ukraine, Kiew, Ukraine
Anastasiia Panchuk
-
LIUC - Università Cattaneo, Castellanza, Italy
Davide Radi
Bibliographic Information
Book Title: Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling
Book Subtitle: Lectures Given at the COST Training School on New Economic Complex Geography at Urbino, Italy, 17-19 September 2015
Editors: Gian Italo Bischi, Anastasiia Panchuk, Davide Radi
Series Title: Springer Proceedings in Complexity
DOI: https://doi.org/10.1007/978-3-319-33276-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-33274-1Published: 03 June 2016
Softcover ISBN: 978-3-319-81474-2Published: 30 May 2018
eBook ISBN: 978-3-319-33276-5Published: 02 June 2016
Series ISSN: 2213-8684
Series E-ISSN: 2213-8692
Edition Number: 1
Number of Pages: XVI, 327
Number of Illustrations: 130 b/w illustrations, 41 illustrations in colour
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Economic Theory/Quantitative Economics/Mathematical Methods, Regional/Spatial Science, Economic Geography, Data-driven Science, Modeling and Theory Building