Control and synchronization of a hyperchaotic finance system via single controller scheme

Purpose – The purpose of this paper is to study the control and synchronization of the hyperchaotic finance system. Design/methodology/approach – A single controller scheme is introduced. The Routh-Hurwitz criteria and the structure of solution of first-order linear differential equations are adopted in analysis of control and synchronization. Findings – Two single controllers are designed and added to the new hyperchaotic finance system. The stability of the hyperchaotic finance system at its zero equilibrium point is guaranteed by applying the appropriate single controller signal based on Routh-Hurwitz criteria. Another effective controller is also designed for the global asymptotic synchronization on the hyperchaotic finance system based on the structure of solution of first-order linear differential equations. Numerical simulations are demonstrated to verify the effectiveness of the proposed single controller scheme. Originality/value – The introduced approach is interesting for control and synchronization the hyperchaotic finance system.