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A new modified hyperchaotic finance system and its control. (English) Zbl 1179.37124

Summary: A new four-dimensional continuous autonomous hyperchaotic system, which is constructed based on a modified finance system by introducing a nonlinear state feedback controller. The detailed dynamical behaviors of this hyperchaotic system are further investigated, including equlibria and stability, various attractors, bifurcation analysis, and Lyapunov exponents spectrum. Furthermore, effective speed feedback controllers are designed for stabilizing hyperchaos to unstable equilibrium points. Numerical simulations are given to illustrate and verify the results.

MSC:

37N40 Dynamical systems in optimization and economics
93B52 Feedback control
91G80 Financial applications of other theories
37G99 Local and nonlocal bifurcation theory for dynamical systems
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