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Johndcook

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An island of stability in a sea of chaos

  • The island of stability is located within the chaotic region, starting at r = 3.8284.
  • Despite the presence of three stable cycle points in this region, chaos still technically persists.
  • The existence of points with period 4 in the system is affirmed through calculations involving the logistic map with r = 3.83.
  • While the visible region may only show three stable cycle points, there are infinitely more cyclic points present but not observable, emphasizing the intricate nature of chaos.

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