Hyperchaos system with only one nonlinear term and comparative study of its chaotic control

Abstract

In order to study the nature of chaos a four-dimensional hyperchaos system with only one nonlinear term was constructed.In this paper the complex dynamics features including hyperchaos attractor the Lyapunov exponent and the Poincare map were studied which proved the hyperchaos system's chaotic behavior.In order to better control this fourdimensional hyperchaotic system the control simulation of the system was given respectively by the linear feedback control and adaptive control method which shows that linear feedback control method and the adaptive control method are effective and feasible to control the hyperchaos system with only one nonlinear term.At the same time the advantages and disadvantages of the two kinds of control methods in controlling chaos system were compared.