A new construction method of N-dimensional discrete sine hyperchaotic map

This paper presents a new method for constructing N-dimensional discrete sine hyperchaotic maps (NSHMs). This method can efficiently generate different hyperchaotic maps with arbitrary dimensions by designing different seed functions and different system dimensions. By this method, we constructed three different sub-maps, namely a 2-dimensional discrete sine hyperchaotic map (2SHM), a 4-dimensional discrete sine hyperchaotic map (4SHM) and a 6-dimensional discrete sine hyperchaotic map (6SHM). These three sub-maps not only have simple structures, but also possess complex dynamical behaviors, such as initial-boosting behaviors, large Lyapunov exponents (LLEs), and ultra-wide non-degenerate hyperchaotic parameter range (UHPR). In addition, we also conducted spectral entropy (SE) complexity analysis and National Institute of Standards and Technology (NIST) tests on these three sub-maps. Finally, the three sub-maps were implemented using the STM32 hardware platform.