| Abstrakt: |
In recent years, researchers from several fields including economics have developed models to better understand nonlinear phenomena such as chaos. To this direction, a novel chaotic financial system is presented in this paper. The nonlinear dynamics analysis of the proposed system has revealed some interesting phenomena such as chaos and period-doubling by using tools such as phase diagrams, time histories, largest Lyapunov exponent, parameters space and bifurcation diagrams. In addition, using bifurcation diagrams, the influence of varying certain parameters of the system on its dynamics has been also studied in detail. Then, to perform the control, complete synchronization and anti-synchronization of the novel chaotic financial system when its constant parameter values are unknown, adaptive control laws were derived using Lyapunov’s stability theory. Finally, to show the efficiency of theoretical results, numerical simulations were carried out. |
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