14 research outputs found
Metrics which are extremal for eigenvalues of the Laplace - Beltrami operator on surfaces
Evolution families of conformal mappings with fixed points and the Löwner-Kufarev equation
A note on the quasi-stationary distribution of the Shiryaev martingale on the positive half-line
A note on the “unique” business cycle in the Keynesian theory
In this paper, we explore the existence and “uniqueness” of a limit cycle in a Keynesian model of business cycles. In a model with the simplest (linear) Keynesian consumption function and the logistic investment function based upon the profit principle, we establish the existence of a periodic orbit (irrespective of the speed of quantity adjustment) and verify, with the help of the theory on generalized Lienard systems, the uniqueness of it for the case in which the speed of quantity adjustment is large enough