Exploring simplicity bias in 1d dynamical systems

HIGHLIGHTS

  • What: To further explore the presence of simplicity bias in dynamical systems and physics, and also in maps which test the boundaries of the conditions for simplicity bias described above, the authors examine the output trajectories of a selection of 1D maps from chaos theory, namely the logistic map, the Gauss ("mouse") map, the sine map, the Bernoulli map, and the tent map. Due to the popularity of the logistic map, and because its trajectory outputs can depict simple as well as complex, chaotic, and even pseudo-random patterns, the authors focus primarily on the logistic map . . .

     

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