Dynamical Analysis and Generalized Synchronization of a Novel Fractional-Order Hyperchaotic System with Hidden Attractor

In this paper, hidden dynamical behaviors in a novel fractional-order hyperchaotic system without an equilibrium point are investigated. It is found that the chaotic exhibits various for different parameters, such as attractor, attractor and limit cycle. The demonstrated via phase portraits time evolution curves. Moreover, generalized synchronization of systems discussed, which can be realized by designing suitable controllers. Numerical simulations carried out to verify effectiveness scheme. By analyzing performance, it inferred lower derivative order is, less required reach synchronization.