Extension of ``Renormalization of period doubling in symmetric volume-preserving maps''

Details Extension of ``Renormalization of period doubling in symmetric volume-preserving maps'' Extension of ``Renormalization of period doubling in symmetric volume-preserving maps''

1994-11-14

arxiv.org/abs/chao-dyn/9411013v1

Physics

Condensed Matter

13 pages + 1 figure (available upon request), RevTex 3.0

Scientific paper

10.1103/PhysRevE.50.4237

We numerically reexamine the scaling behavior of period doublings in four-dimensional volume-preserving maps in order to resolve a discrepancy between numerical results on scaling of the coupling parameter and the approximate renormalization results reported by Mao and Greene [Phys. Rev. A {\bf 35}, 3911 (1987)]. In order to see the fine structure of period doublings, we extend the simple one-term scaling law to a two-term scaling law. Thus we find a new scaling factor associated with coupling and confirm the approximate renormalization results.

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