Mode Locking
A phenomenon in which a system being forced at an Irrational period undergoes rational, periodicmotion which persists for a finite range of forcing values. It may occur for strong couplings between natural and forcingoscillation frequencies.
The phenomenon can be exemplified in the Circle Map when, after 
iterations of the map, the new angle differs fromthe initial value by a Rational Number
This is the form of the unperturbed Circle Map with the Winding Number
For
not a Rational Number, the trajectory is Quasiperiodic.See also Chaos, Quasiperiodic Function- Elliptic Exponential Function
- Elliptic Fixed Point (Differential Equations)
- Elliptic Fixed Point (Map)
- Elliptic Function
- Elliptic Functional
- Elliptic Geometry
- Elliptic Group Modulo p
- Elliptic Helicoid
- Elliptic Hyperboloid
- Elliptic Integral
- Elliptic Integral of the First Kind
- Elliptic Integral of the Second Kind
- Elliptic Integral of the Third Kind
- Elliptic Integral Singular Value
- Elliptic Integral Singular Value k1
- Elliptic Integral Singular Value k2
- Elliptic Integral Singular Value k3
- Ellipticity
- Elliptic Lambda Function
- Elliptic Logarithm
- Elliptic Modular Function
- Elliptic Paraboloid
- Elliptic Partial Differential Equation
- Elliptic Plane
- Elliptic Point