Stability Switches and Hopf Bifurcation in a Kaleckian Model of Business Cycle

Hopf bifurcation of the stochastic model on business cycle

Stability and Hopf bifurcation for Kaldor-Kalecki model of business cycles with two time delays

Abstract— Papers investigate a Kaldor-Kalecki model of business cycle system with two different delays, which described the interaction of the gross product Y and the capital product K . We derived the conditions for the local stability and the existence of Hopf bifurcation at the equilibrium of the system. By applying the normal form theory and center manifold theory, some explicit formulate f...

Hopf Bifurcation and Stability in DAEs

A simple comparison of the areas of the sciences in which DAEs are involved with those in which examples of Hopf bifurcation in ODEs arise (see Thompson and Stewart (1986) and the references therein) reveals a considerable overlap and suggests that an appropriate variant of the Hopf bifurcation theorem should be available in the DAE setting. In this chapter, we show that, indeed, a generalizati...

Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response

In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spati...

Direction and Stability of Hopf Bifurcation in a Delayed Model with Heterogeneous Fundamentalists

In recent years we have witnessed an increasing interest in dynamical systems with time delays, especially in applied mathematics and economics (see e.g. [1-8],[9]), where it has been showed that the introduction of time delays allows the capturing of more complex dynamics, thus enriching the description of the whole system. In [6] Gori et al. have inquired whether complex dynamic phenomena obt...