Qualitative Methods in Continuous and Discrete Dynamical Systems

被引：6

作者：

Bischi, Gian Italo ^{[1
]}

Lamantia, Fabio ^{[2
,3
]}

Radi, Davide ^{[4
]}

机构：

[1] Polit Univ Urbino Carlo Bo, DESP, 42 Via Saffi, I-61029 Urbino, PU, Italy

[2] Univ Calabria, Dept Econ Stat & Finance, 3C Via P Bucci, I-87036 Arcavacata Di Rende, CS, Italy

[3] Univ Manchester, Econ Sch Social Sci, Arthur Lewis Bldg, Manchester, Lancs, England

[4] Univ Cattaneo, LIUC, Sch Econ & Management, 22 Cso Matteotti, I-21053 Castellanza, VA, Italy

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, TOOLS AND APPLICATIONS FOR ECONOMIC MODELLING | 2016年

关键词：

D O I：

10.1007/978-3-319-33276-5_1

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

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.

引用

页码：1 / 159

页数：159

共 50 条

[1] Discrete and continuous dynamical systems
Bohl, E
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (4-5) : 99 - 104
[2] A FEW CONTINUOUS AND DISCRETE DYNAMICAL SYSTEMS
Zhang, Yufeng
Rui, Wenjuan
REPORTS ON MATHEMATICAL PHYSICS, 2016, 78 (01) : 19 - 32
[3] Qualitative Methods in Discontinuous Dynamical Systems
Janovska, Drahoslava
Hanus, Tomas
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[4] CONTINUOUS DEPENDENCE OF THE ASYMPTOTICS IN DISCRETE AND CONTINUOUS DYNAMICAL-SYSTEMS
GOLDSTEIN, JA
RIEDER, GR
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1989, 130 : 338 - 339
[5] CONTINUOUS DEPENDENCE OF THE ASYMPTOTICS IN DISCRETE AND CONTINUOUS DYNAMICAL-SYSTEMS
GOLDSTEIN, JA
RIEDER, GR
ADVANCES IN COMPUTING AND CONTROL, 1989, 130 : 338 - 339
[6] Comparison between continuous and discrete methods of dynamical control
Khovanova, IA
Khovanova, NA
Grigorieva, EV
Luchinsky, DG
McClintock, PVE
Noise in Complex Systems and Stochastic Dynamics III, 2005, 5845 : 164 - 172
[7] A unified approach for studying discrete and continuous dynamical systems
Maler, O
PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 2083 - 2088
[8] Unified approach for studying discrete and continuous dynamical systems
Maler, Oded
Proceedings of the IEEE Conference on Decision and Control, 1998, 2 : 2083 - 2088
[9] Discrete and Continuous Dynamical Systems - Series B Preface
Dacorogna, Bernard
Mascolo, Elvira
Sbordone, Carlo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (01): : I - II
[10] Discrete and continuous dynamical systems series B -: Preface
Fabbri, R.
Johnson, R.
Nunez, C.
Obaya, R.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 9 (3-4): : I - ii

← 1 2 3 4 5 →