Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Control_theory
Biology Electrical engineering Oscillatory chemical reactions |
| gptkbp:describes |
Closed trajectory in phase space
|
| gptkbp:example |
gptkb:Lotka–Volterra_equations
gptkb:Van_der_Pol_oscillator Rayleigh oscillator |
| gptkbp:field |
Nonlinear systems
Dynamical systems |
| gptkbp:firstDescribed |
1882
|
| https://www.w3.org/2000/01/rdf-schema#label |
Limit cycle
|
| gptkbp:introduced |
gptkb:Henri_Poincaré
|
| gptkbp:property |
Attracts nearby trajectories
Can be stable, unstable, or semi-stable Isolated closed trajectory |
| gptkbp:relatedTo |
gptkb:Hopf_bifurcation
Nonlinear oscillation Periodic orbit Phase portrait |
| gptkbp:bfsParent |
gptkb:Attractor
|
| gptkbp:bfsLayer |
7
|