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  2. Period-doubling bifurcation - Wikipedia

    en.wikipedia.org/wiki/Period-doubling_bifurcation

    With the doubled period, it takes twice as long (or, in a discrete dynamical system, twice as many iterations) for the numerical values visited by the system to repeat themselves. A period-halving bifurcation occurs when a system switches to a new behavior with half the period of the original system.

  3. Social cycle theory - Wikipedia

    en.wikipedia.org/wiki/Social_cycle_theory

    Social cycle theories are among the earliest social theories in sociology.Unlike the theory of social evolutionism, which views the evolution of society and human history as progressing in some new, unique direction(s), sociological cycle theory argues that events and stages of society and history generally repeat themselves in cycles.

  4. Historic recurrence - Wikipedia

    en.wikipedia.org/wiki/Historic_recurrence

    In the Islamic world, Ibn Khaldun (1332–1406) wrote that asabiyyah (social cohesion or group unity) plays an important role in a kingdom's or dynasty's cycle of rise and fall. [ 13 ] G. W. Trompf describes various historic paradigms of historic recurrence, including paradigms that view types of large-scale historic phenomena variously as ...

  5. Strauss–Howe generational theory - Wikipedia

    en.wikipedia.org/wiki/Strauss–Howe_generational...

    The authors describe each turning as lasting circa 21 years. Four turnings make up a full cycle of circa 85 years, [43] which the authors term a saeculum, after the Latin word meaning both "a long human life" and "a natural century". [44] Generational change drives the cycle of turnings and determines its periodicity. As each generation ages ...

  6. Eternal return - Wikipedia

    en.wikipedia.org/wiki/Eternal_return

    Eternal return (or eternal recurrence) is a philosophical concept which states that time repeats itself in an infinite loop, and that exactly the same events will continue to occur in exactly the same way, over and over again, for eternity.

  7. List of cycles - Wikipedia

    en.wikipedia.org/wiki/List_of_cycles

    This is a list of recurring cycles. See also Index of wave articles, Time, and Pattern. Planetary cycles. Astronomical cycles. Astronomy ...

  8. Time loop - Wikipedia

    en.wikipedia.org/wiki/Time_loop

    The time loop is a popular trope in Japanese pop culture media, especially anime. [15] Its use in Japanese fiction dates back to Yasutaka Tsutsui's science fiction novel The Girl Who Leapt Through Time (1965), one of the earliest works to feature a time loop, about a high school girl who repeatedly relives the same day.

  9. Periodic sequence - Wikipedia

    en.wikipedia.org/wiki/Periodic_sequence

    A (purely) periodic sequence (with period p), or a p-periodic sequence, is a sequence a 1, a 2, a 3, ... satisfying . a n+p = a n. for all values of n. [1] [2] [3] If a sequence is regarded as a function whose domain is the set of natural numbers, then a periodic sequence is simply a special type of periodic function.