Adaptive Control and Multi-variables Projective Synchronization of Hyperchaotic Finance System. Issue 1 (March 2021) - Onma, O S
Abstract: This paper introduces a new hyperchaotic finance system and show that it is a self-excited hyperchaotic attractor with the coexistence of double attractor with difference initial conditions for the same set of parameter values. Nonlinear feedback control function u i ( t ), ( i = 1, 2, 3, 4) via adaptive control laws are design for the control and synchronization of the 4D-hyperchaotic finance system with the multiple values of the economics scaling factor αi, ( i = 1, 2, 3, 4), a special case of projective synchronization. The proposed schemes are able to stabilize as well as globally synchronize the two identical finance systems evolving from different initial conditions with uncertain parameter for the different values of α i ( i = 1, 2, 3, 4) . The analytical results were verified through numerical simulation.