A Business Cycle Model with Cubic Nonlinearity
Tönu Puu,Irina Sushko +1 more
TLDR
In this article, a simple multiplier-accelerator model of the business cycle including a cubic nonlinearity is presented, where the corresponding two dimensional iterative map is represented in terms of its bif...Abstract:
This paper deals with a simple multiplier-accelerator model of the business cycle, including a cubic nonlinearity. The corresponding two dimensional iterative map is represented in terms of its bif ...read more
Citations
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Journal ArticleDOI
Attractor merging crisis in chaotic business cycles
TL;DR: A numerical study is performed on a forced-oscillator model of nonlinear business cycles and an attractor merging crisis due to a global bifurcation is analyzed using the unstable periodic orbits and their associated stable and unstable manifolds.
Journal ArticleDOI
Hicks' trade cycle revisited: cycles and bifurcations
TL;DR: The need for a reinterpretation of Hicks' contribution in the light of a more careful mathematical investigation is shown, it will be shown that only one bound is needed to have non explosive outcome if the equilibrium point is an unstable focus.
Journal ArticleDOI
Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control
TL;DR: By using a linear feedback control technique, a chaos synchronization scheme for nonlinear fractional discrete dynamical systems is proposed, and a controller is designed to achieve chaos synchronization.
Journal ArticleDOI
Stochastic stability and bifurcation in a macroeconomic model
TL;DR: In this article, a business cycle model subject to a stochastically parametric excitation is derived, and the stochastic Hopf bifurcation occurs at two critical parametric values.
References
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Book ChapterDOI
The Non-linear Accelerator and the Persistence of Business Cycles
TL;DR: In this article, a succession of increasingly complex models, the nature and methods of analysing non-linear cycle models are developed, and the roles of lags and of secular evolution are illustrated.