We observe the relationship between forward bounded orbits and affine periodic orbits for infinite‐dimensional linear dynamical systems and prove a Massera type criterion, which asserts that a forward bounded orbit implies the existence of affine periodic orbits. Such an affine‐periodic orbit might be periodic, quasi(almost)‐periodic, or spiral one. We also give an analog for hybrid (switching) discrete dynamical systems.
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.