Bifurcation analysis of a class of generalized Hénon maps with hidden dynamics

Although continuous systems such as the Chua circuit are known with hidden attractors, attractors also exist in classical discrete maps, a generalized Hénon map. A attractor is an that does not overlap its own attracting region vicinity, which makes it difficult to visualize. In this paper, local bifurcation analysis method for maps described, and of map performed using method. The structure, parameters changed, shows certain law, interesting Neimark–Sacker period-doubling confirmed occur simultaneously. It was found rectangular characteristic chaotic regions, they appear relatively frequently near window chaos. © 2021 Institute Electrical Engineers Japan. Published by Wiley Periodicals LLC.