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.
Author details: | Sergey P. Kuznetsov, Ulrike FeudelORCiDGND, Arkadij PikovskijORCiDGND |
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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 |