Ultimate bound estimation set and chaos synchronization for a financial risk system. (English) Zbl 1540.91102
Summary: In this paper, the ultimate boundary region of a financial risk system is studied through an optimization idea. For this system, the analytical expression of the ultimate boundary region is derived based on the optimization method and the Lagrange multiplier method. The ultimate bound which is useful in chaos synchronization is demonstrated through numerical simulations. Utilizing the bound obtained, a linear controller is proposed to achieve the chaos synchronization. All the numerical simulation results are in line with the theoretical analysis.
MSC:
| 91G80 | Financial applications of other theories |
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 37N40 | Dynamical systems in optimization and economics |
Keywords:
chaotic financial risk system; ultimate bound; Lagrange multiplier method; optimization; synchronizationReferences:
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