Analysis of stochastic effects in Kaldor-type business cycle discrete model

• A nonlinear business cycle discrete model with random disturbances is studied.
• The parametric analysis of stochastic attractors is performed using the stochastic sensitivity functions technique.
• Simulations of the spatial arrangement of random states in stochastic attractors by confidence domains are presented.
• The phenomenon of noise-induced transitions “chaos-order” is discussed.

We study nonlinear stochastic phenomena in the discrete Kaldor model of business cycles. A numerical parametric analysis of stochastically forced attractors (equilibria, closed invariant curves, discrete cycles) of this model is performed using the stochastic sensitivity functions technique. A spatial arrangement of random states in stochastic attractors is modeled by confidence domains. The phenomenon of noise-induced transitions “chaos-order” is discussed.