Universitatea "Babeş-Bolyai" din Cluj-Napoca

Facultatea de Matematică şi Informatică
FISA DISCIPLINEI

Sisteme dinamice continue în economie Continuous dynamical systems in economics
Cod
Semes-
trul
Ore: C+S+L
Credite
Tipul
Sectia
ME017
7
2+1+0
5
optionala
Matematici Aplicate
(Applied Mathematics)
ME017
7
2+1+0
5
optionala
Matematica Economica
(Mathematics Economics)
Cadre didactice indrumatoare Teaching Staff in Charge
Prof. Dr. TRIF Damian, dtrif@math.ubbcluj.ro
Obiective Aims
Insusirea notiunilor de baza din teoria sistemelor dinamice continue, dezvoltarea capacitatii de a analiza teoretic si de a simula numeric comportarea dinamica a sistemelor provenind din economie.
The assimilation of some basic elements of the theory of continuous dynamical systems, the development of the ability of theoretical analysis and numerical simulation of the dynamical behavior of systems from economics.
Continut
1. Modele matematice continue in economie
2. Dinamica unei ecuatii diferentiale
3. Puncte fixe, puncte periodice, multimi limita si atractori
4. Sisteme dinamice continue si haotice
5. Dinamici economice
6. Metode numerice pentru sisteme dinamice
Bibliografie
1. W.A.Brock, A.G.Malliaris, Differential equations, stability and chaos in dynamic economics, North-Holland,Amsterdam, 1989
2. I.A.Rus, Ecuatii diferentiale, ecuatii integrale si sisteme dinamice, Transilvania Press, Cluj-Napoca, 1996
3. B.S. Jensen, The dynamic systems of basic economic growth models, Kluwer, London, 1994
4. D. Trif, Metode numerice in teoria sistemelor dinamice, Transilvania Press, Cluj-Napoca, 1997
Evaluare Assessment
Examen.
Exam.