title: Synchronous and asynchronous systems of threshold elements.
abstract: The role of synchronism in systems of threshold elements (such as neural networks) is examined. Some important differences between synchronous and asynchronous systems are outlined. In particular, important restrictions on limit cycles are found in asynchronous systems along with multi-frequency oscillations which do not appear in synchronous systems. The possible role of deterministic chaos in these systems is discussed.
mesh_terms: D000818:Animals; D008433:Mathematics; D008959:Models, Neurological; D010507:Periodicity; D011336:Probability