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Complexity of discrete investment competition model based on heterogeneous participants. (English) Zbl 1255.37029
Summary: A discrete nonlinear dynamics model has been established based on investment competition for heterogeneous financial institutions in this paper. The cost functions of financial institutions are different in the competitive investment. Theoretical analysis and numerical simulations of the system are investigated in detail. The results show that the dynamic system can undergo chaotic orbits. The stability control is realized by the method combining the feedback control with the parameter variation. The numerical simulation results show that the control method is effective. In practice, by utilizing the sensitivity to disturbance of the model, we can put a tiny perturbation on the chaotic system and induce large influence on investments in order to realize a desirable behaviour.
MSC:
37N40Dynamical systems in optimization and economics
34C28Complex behavior, chaotic systems (ODE)
34H10Chaos control (ODE)
65P20Numerical chaos