# limit cycle

## Primary tabs

Defines:
stable limit cycle, unstable limit cycle
Synonym:
$\omega$-limit cycle, $\alpha$-limit cycle
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)