of an autonomous system of ordinary differential equations
The trajectory of a periodic solution to this system; it is usually understood that this solution does not reduce to a constant, i.e. that the trajectory does not reduce to one point (an equilibrium position). A synonym of periodic trajectory is closed trajectory (because it is a closed curve).
For literature on the existence of periodic trajectories, see Periodic point.
Periodic trajectory. D.V. Anosov (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Periodic_trajectory&oldid=15740