Behavior that cycles through a sequence of modes in continuous time.
A periodic cycle in a dynamical system such that previous states are returned to repeatedly.
An attractor that is periodic in time, that is, that cycles periodically through an ordered sequence of states.
An isolated periodic orbit (as compared to the solutions to for which there are infinately many periodic solutions passing through any region in phase space.)
a periodic orbit of the system that is isolated
a repeating sequence of states, a periodic orbit of the dynamics
An isolated periodic solution to an autonomous system that results in an isolated closed path in the phase plane. Limit cycles are also of considerable interest since they do not occur in linear autonomous systems.