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نگاشت تعریف شده با  x\to 4x(1-x) و  y\to (x+y){\pmod {1}}، حساسیت نسبت به موقعیت آغازین  x را نمایش می‌دهد. در اینجا، دو سری از مقادیر  x و  y که در ابتدا اختلاف اندکی دارند، با گذر زمان، اختلافشان، قابل توجه، بیشتر می‌شود (واگرا شدن).