This paper considers a basic approach to generalize techniques of controlling chaos. First, we propose a novel manifold piecewiselinear (MPL) system as a control object. The novel MPL can generate both chaotic attractors and periodic attractors. Second, we propose a novel occasional proportional feedback (OPF) method and apply it to the MPL. The OPF can change a form of the return map of the MPL-it can change chaos into a periodic attractor and change a periodic attractor into chaos. The OPF functions can be guaranteed theoretically. Third, we propose an implementation example of the OPF and confirm its function in the laboratory.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.