BIFURCATIONS IN A STOCHASTIC BUSINESS CYCLE MODEL

2010 ◽  
Vol 20 (12) ◽  
pp. 4111-4118 ◽  
Author(s):  
DONGWEI HUANG ◽  
HONGLI WANG ◽  
YINGFEI YI
Keyword(s):  
Lyapunov Exponent ◽  
Business Cycle ◽  
Hamiltonian Systems ◽  
Largest Lyapunov Exponent ◽  
Hopf Bifurcations ◽  
Cycle Model ◽  
Probability Densities ◽  
Multiplicative Ergodic Theorem ◽  
Business Cycle Model ◽  
Parameter Values

We introduce a stochastic business cycle model and study the underlying stochastic Hopf bifurcations with respect to probability densities at different parameter values. Our analysis is based on the calculation of the largest Lyapunov exponent via multiplicative ergodic theorem and the theory of boundary analysis for quasi-nonintegrable Hamiltonian systems. Some numerical simulations of the model are performed.

NONLINEAR OSCILLATIONS IN BUSINESS CYCLE MODEL WITH TIME LAGS

2000 ◽  
Vol 03 (03) ◽  
pp. 603-604 ◽  
Author(s):  
ADAM KRAWIEC ◽  
MAREK SZYDŁOWSKI ◽  
JANUSZ TOBOŁA
Keyword(s):  
Differential Equation ◽  
Business Cycle ◽  
Nonlinear Oscillations ◽  
Equation System ◽  
Hopf Bifurcations ◽  
Time Lags ◽  
Differential Equation System ◽  
Cycle Model ◽  
Business Cycle Model ◽  
Delay Differential

We analyse the Hopf bifurcations in the Kaldor–Kalecki business cycle model represented by a delay differential equation system.

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