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Scaling of the “superstable” fraction of the 2D period-doubling interval
Quispel, G.R.W. (1985) Scaling of the “superstable” fraction of the 2D period-doubling interval. Physics Letters A, 112 (8). pp. 353-356. ISSN 0375-9601
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| Abstract: | The scaling properties of a “superstable” parameter interval,ℓ , where the eigenvalues about a period-2n orbit are complex, are derived for 2D period-doubling maps. The ratio ofℓ to the whole parameter interval, between the nth and the (n+1)st bifurcation, is shown to be a universal function of the effective jacobian, Be, only (Be≡B2n, B is the jacobian of th e map). Unlike the whole period-2n interval,ℓ has a convergence rate that behaves as 4.6692016xB 1/4 as Be↓), while its complement has a convergence rate 8.7210972/4 as Be↑1.
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| Item Type: | Article |
| Copyright: | © 1985 Elsevier Science |
| Link to this item: | http://purl.utwente.nl/publications/69520 |
| Official URL: | http://dx.doi.org/10.1016/0375-9601(85)90398-6 |
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