Novel dynamical behaviors in fractional-order conservative hyperchaotic system and DSP implementation

In this paper, a novel fractional-order conservative system is constructed. The new system has rich dynamical behaviors by the consequence of the data simulation findings. The change of a certain parameter value can make system produce a range of conservative flows with varying topologies, and modifying further parameters the conservative flows can exhibit extension, expansion, and rotational tendencies. The initial offset behavior, extreme multi-stability, as well as multiple transient transition phenomena, can be observed. It is worth noting that two special phenomena are discovered in the paper: one is the discovery of hyperchaos in this system, which has never been reported before in the study of fractional-order conservative systems; the other is the existence of dissipation in this conservative system, which can be manifested by altering the order or parameter. These phenomena are analyzed in detail by utilizing phase diagram, bifurcation diagram, the Lyapunov exponent spectra and time series diagram. Over and above, we also analyze the feasibility of the system being used as a pseudo-random sequence generator. At last, the hardware implementation of the system is carried out on the DSP experimental platform to verify the correctness of theoretical analysis. The results show that this system has potential practical application value.