“…In 1963, the American meteorologist E. N. Lorenz observed chaos in his atmospheric studies, opening the way for future exploration of chaos [ 1 ]. Chaos has favorable randomness and it is widely used in various fields such as secure communication [ 2 ], medical image processing [ 3 , 4 , 5 ], biomedical science [ 6 , 7 ], and finance [ 8 , 9 , 10 ]. In 1979, Otto Rössler proposed the first hyperchaotic system with two or more attractors and positive Lyapunov exponents, its phase orbitals can be separated in multiple directions, and the algebraic structure and dynamical behavior are more complex, confidential, and impenetrable than ordinary low-dimensional chaotic systems, with greater potential for research and development.…”