Serval control problems of a novel finance chaotic system

This paper investigates the control, synchronization and coexistence of synchronization and anti-synchronization of a novel finance chaotic system. First, a single variable controller is proposed to stabilize the finance chaotic system. A single variable controller is also obtained to synchronize two identical finance chaotic systems with different initial conditions. Second, the coexistence of synchronization and anti-synchronization of the finance system is realized by a single variable controller. In comparison with the existing results, the obtained controllers in this paper are simpler than those. Finally, numerical simulations verify the correctness and the effectiveness of the proposed results.