Asymmetry Evolvement and Controllability of a Symmetric Hyperchaotic Map

Trigonometric functions were used to construct a 2-D symmetrical hyperchaotic map with infinitely many attractors. The regime of multistability depends on the periodicity trigonometric function, which is closely related initial condition. For this nonlinearity and introduction an offset controller, condition triggers specific evolvement, in countless symmetric asymmetric attractors are produced. Initial condition-triggered boosting explored, combined constant controlled regulation. Furthermore, gives sequences various types attractors, polarity balance maintained by negative coefficient due function. Finally, as determined through hardware implementation STM32, corresponding results agree numerical simulation.