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Renormalization group for scaling at the torus-doubling terminal point

  • The quasiperiodically forced logistic map is analyzed at the terminal point of the torus-doubling bifurcation curve, where the dynamical regimes of torus, doubled torus, strange nonchaotic attractor, and chaos meet. Using the renormalization group approach we reveal scaling properties both for the critical attractor and for the parameter plane topography near the critical point.

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Author details:Sergey P. Kuznetsov, Ulrike FeudelORCiDGND, Arkadij PikovskijORCiDGND
Publication type:Article
Language:English
Year of first publication:1998
Publication year:1998
Release date:2017/03/24
Source:Physical Review / E. - 57 (1998), S. 1585 - 1590
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
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