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单词 Fixed Point (Map)
释义

Fixed Point (Map)

A point which is mapped to itself under a Map , so that . Such points are sometimes also calledInvariant Points, or Fixed Elements (Woods 1961). Stable fixed points arecalled elliptical. Unstable fixed points, corresponding to an intersection of a stable and unstable invariant Manifold,are called Hyperbolic (or Saddle). Points may also becalled asymptotically stable (a.k.a. superstable).

See also Critical Point, Involuntary


References

Shashkin, Yu. A. Fixed Points. Providence, RI: Amer. Math. Soc., 1991.

Woods, F. S. Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry. New York: Dover, p. 14, 1961.


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