Linked from

The 37 pages that link to Fixed point, each with the reason it gives.

• SymmetryRelated: Rotations and reflections often reveal their structure through the points they leave fixed.

• Invariant (mathematics)Related: A fixed point is a special case where the object itself, not merely a property, is preserved.

• Nonlinear systemRelated: Fixed points identify steady states of nonlinear transformations.

• Poincaré mapRelated: A fixed point represents a trajectory returning to the same section point after one circuit.

• Möbius transformationRelated: Solving the Möbius fixed-point equation reveals whether its dynamics are elliptic, parabolic, or loxodromic.

• Symmetry groupRelated: Fixed points help distinguish transformations and characterize stabilizers.

• Rotational symmetryRelated: The center of a planar symmetry rotation is fixed throughout the motion.

• Diagonal lemmaRelated: The lemma produces a sentence whose code behaves like a fixed point of substitution.

• Nonlinear dynamicsRelated: Fixed points anchor stability analysis and organize nearby trajectories.

• Recursive definitionRelated: Some recursive equations characterize their defined objects as fixed points.

• BifurcationRelated: Fixed points are the discrete-time counterparts of equilibria and can change stability at bifurcations.

• Self-referenceRelated: Self-referential constructions often seek a sentence unchanged by a transformation of its description.

• Iterative methodRelated: Many iterative procedures seek a state unchanged by the update rule.

• Scale invarianceRelated: A scale transformation's fixed point represents a description unchanged by rescaling.

• Graph automorphismRelated: A vertex fixed by an automorphism remains in place while other vertices may move.

• Zero of a functionRelated: Fixed points can be found as zeros of the function x ↦ f(x) − x.

• Pólya enumeration theoremRelated: Burnside’s averaging step counts configurations fixed by each symmetry.

• Daniel Gabriel FahrenheitRelated: Fahrenheit used reference conditions to make thermometer readings comparable.

• Euler's rotation theoremRelated: The fixed point is where the theorem's equivalent rotation axis passes through.