This paper extends the classical Samuelson multiplier-accelerator model for national economy. Actually, this new modeling structure removes the basic shortcoming of the original model producing stable business cycles when realistic values of the parameters (multiplier, accelerator) are entered...

This paper extends the classical Samuelson multiplier-accelerator model for national economy. Actually, this new modeling structure removes the basic shortcoming of the original model producing stable business cycles when realistic values of the parameters (multiplier, accelerator) are entered...

We study classical multiparticle system (e.g. Toda lattice) on the line whose dynamics will be controlled by forces applied to few particles of the system. Various problem settings, typical for control theory are posed for this model; among those: studying accessibility and controllability...