The construction and several control problems of a new hyperchaotic finance system are investigated in this paper. Firstly, a\nnew four-dimensional hyperchaotic finance system is introduced, based on which a new hyperchaos is then generated by setting\nparameters. And the qualitative analysis is numerically studied to confirm the dynamical processes, for example, the bifurcation\ndiagram, Poincar�´e sections, Lyapunov exponents, and phase portraits. Interestingly, the obtained results show that this new system\ncan display complex characteristics: chaotic, hyperchaotic, and quasiperiodic phenomena occur alternately versus parameters.\nSecondly, three single input adaptive controllers are designed to realize the control problems of such system: stabilization,\nsynchronization, and coexistence of antisynchronization and complete synchronization, respectively. It is noted that the designed\ncontrollers are simpler than the existing ones. Finally, numerical simulations are provided to demonstrate the validity and the\neffectiveness of the proposed theoretical results.
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