Periodic trajectory

From Encyclopedia of Mathematics
Jump to: navigation, search

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.

How to Cite This Entry:
Periodic trajectory. D.V. Anosov (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098