A multi-directional controllable multi-scroll conservative chaos generator: Modelling, analysis, and FPGA implementation

Combing with the generalized Hamiltonian system theory, by introducing a special form of sinusoidal function, a class of n-dimensional (n = 1,2,3) controllable multi-scroll conservative chaos with complicated dynamics is constructed. The dynamics characteristics including bifurcation behavior and coexistence of the system are analyzed in detail, the latter reveals abundant coexisting flows. Furthermore, the proposed system passes the NIST tests and has been implemented physically by FPGA. Compared to the multi-scroll dissipative chaos, the experimental portraits of the proposed system show better ergodicity, which have potential application value in secure communication and image encryption.

Automated summary

By introducing a special form of sinusoidal function, a class of multi-dimensional chaotic systems with complex dynamics has been constructed and analyzed. The proposed system exhibits better ergodicity and has potential application value in secure communication and image encryption.