The emergence of bull and bear dynamics in a nonlinear model of interacting markets.
The evolution of nonlinear dynamics in political science and public administration: Methods, modeling and momentum.
The new science of complexity.
The stability of Nash-Cournot equilibria in labor managed oligopolies.
The steepest descent dynamical system with control. Applications to constrained minimization
Let be a real Hilbert space, a convex function of class that we wish to minimize under the convex constraint . A classical approach consists in following the trajectories of the generalized steepest descent system (cf. Brézis [5]) applied to the non-smooth function . Following Antipin [1], it is also possible to use a continuous gradient-projection system. We propose here an alternative method as follows: given a smooth convex function whose critical points coincide with and a control...
The steepest descent dynamical system with control. Applications to constrained minimization
Let H be a real Hilbert space, a convex function of class that we wish to minimize under the convex constraint S. A classical approach consists in following the trajectories of the generalized steepest descent system (cf. Brézis [CITE]) applied to the non-smooth function . Following Antipin [1], it is also possible to use a continuous gradient-projection system. We propose here an alternative method as follows: given a smooth convex function whose critical points coincide with S and...
The study of the chaotic behavior in retailer's demand model.
Theory of adaptive adjustment.
Topological entropy of Cournot-Puu duopoly.