Another n-D Conservative Chaotic/Hyperchaotic System

This brief proposes a method for generating an
${n}$
-D Hamiltonian conservative chaotic/hyperchaotic system (
${n}$
-D HCCS/HCHCS). Firstly, the skew-symmetric structure matrix and the Hamiltonian gradient vector with functions as elements are constructed to obtain the
${n}$
-D system. The conservatism of the
${n}$
-D system constructed is proved theoretically. The construction process is described in detail by taking the 4D system as an example. To illustrate the effectiveness of this method, a 4D HCCS and a 5D HCHCS are analyzed theoretically and numerically. Then, a pseudo-random number generator is designed based on these two systems and its randomness is tested. Finally, the physical realizability of the two systems is verified through hardware experiments.