A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits

Based on Euler equation and energy analysis, a new five-dimensional (5D) hyperchaotic system is proposed in this paper. The new system is a conservative system which conforms to the Hamiltonian energy conservation and contains four center type equilibrium points. The conservative and chaotic properties of the system are verified by divergence, phase diagrams, equilibrium points, Lyapunov exponents(LEs), bifurcation diagram and spectral entropy(SE) complexity. In addition, the new system has the characteristics of wide range, which can keep conservative hyperchaotic state and high complexity in wide parameter range and wide initial value range. Besides, with the increase of variable value, the ergodicity and randomness are also enhanced.The multistability phenomenon and transient transition behavior of the new system are analyzed. Finally, the chaotic sequence generated by the new system is verified to have good pseudo-randomness by NIST test, and the physical realizability of the new system is proved by digital signal processor(DSP) hardware platform.