An accumulation point is a point which is the limit of a sequence, also called a limit point. For some maps, periodic orbits give way to chaotic ones beyond a point known as the accumulation point.
Accumulation Point
See also
Bolzano-Weierstrass Theorem, Cantor's Intersection Theorem, Chaos, Fractional Part, Heine-Borel Theorem, Limit Point, Logistic Map, Mode Locking, Period Doubling, Pisot NumberExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Accumulation Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AccumulationPoint.html