THE ROLE OF DYNAMICAL SYSTEMS THEORY IN ECONOMICS
DUMITRU BALAABSTRACT. In this paper, I am particularly interested in exploring the application of random dynamical systems theory in stochastic economic growth, computational and dynamic conceptualizations of complexity in economics, and necessary mathematical tools for stability analysis and control design of nonlinear dynamical systems. Schenk-Hoppe surveys recent progress in the application of random dynamical systems theory in stochastic economic growth. Caillault and Guegan consider a non parametric approach using the copula method, calculating the bivariate distribution function of the portfolio in a dynamic way. Haddad and Chellaboina develop generalized Lyapunov and invariant set theorems for nonlinear dynamical systems. (pp. 249–254)
JEL: C32, P00
Keywords: dynamical, system, economic, Lyapunov, complexity, nonlinear