WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 11, 2012
Synchronization Phenomena in Coupled Nonlinear Systems Applied in Economic Cycles
Authors: , ,
Abstract: In this paper, the modelization of coupling between two systems of economic cycles, which adopt the idea that economic fluctuations result from endogenous interactions, is studied. The nonlinear system, which describes the economic system, is a modification of the 2-dimensional Van der Pol oscillator. The coupling strength represents the effect of the capital inflow between the two conjugated economic systems, with identical economic aggregates, such as savings, gross domestic product and foreign capital inflow. Numerical simulations reveal the richness of the coupled system’s dynamic behavior, showing interesting nonlinear dynamical and synchronization phenomena. Various tools of nonlinear theory, such as bifurcation diagrams, phase portraits and Lyapunov exponents, for the study of the proposed coupling methods (unidirectional and bidirectional), have been used.
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Keywords: Nonlinear system, economic cycle, Chaos, bifurcation, complete synchronization, inverse lag synchronization, inverse π-lag synchronization