Abstract
We have studied a multiple scaling which describes corrections to scaling. For the period doubling in one-dimensional dissipative maps, two-dimensional areapreserving maps, and four-dimensional symplectic maps, the multiple scaling is seen to be well-obeyed, and new scaling factors have been found. The multiple scaling is also seen to be a very powerful tool for searching for scaling behavior.
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Mao, Jm., Hu, B. Corrections to scaling for period doubling. J Stat Phys 46, 111–117 (1987). https://doi.org/10.1007/BF01010334
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DOI: https://doi.org/10.1007/BF01010334