“The footprints of chaos: a novel method and demonstration for generating various patterns from chaos” by Shimonishi, Hirose and Iba

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    The footprints of chaos: a novel method and demonstration for generating various patterns from chaos

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Abstract:


    We propose a new method for generating various patterns from chaos, which visualize the history by converting the value into an angle and plotting the circle on the two-dimensional plane. Chaos is one of the dynamical phenomena, which the behavior seems irregular but acts under a deterministic rule. Interestingly, the behavior of chaos is not only irregular, but also have a complex structure in the system. We show the map and movie to demonstrate that the proposed method is able to generates a lot of —an infinite of— various patterns according to the initial values and a control parameter.


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