Wednesday, May 26
MS39
Dynamics and Structures with Fractal Spectra
10:00 AM-12:00 PM
Room: Magpie A/B
Usually accepted distinction between order (periodicity or
quasiperiodicity) and chaos is not complete: there are processes
between order and chaos, and they are often characterized with
fractal (singular continuous) power spectra. Recent studies have
shown abundance of the dynamics with fractal spectra in Hamiltonian
and dissipative nonlinear systems. Similar properties have been also
found in solid states (quasicrystals) and in quantum chaos. This
minisymposium is focused on the mechanisms of appearance of fractal
spectra, the methods of their characterization, and implications for
transport properties in quantum systems and solids.
Organizer: Arkady Pikovsky
Potsdam University, Germany
- 10:00-10:25 Dynamics with Singular Continuous Spectra:
Mechanisms and Renormalization Group Description
- Arkady Pikovsky, Organizer
- Cancelled
10:30-10:55 Multifractal
Spectra and Eigenfunction: What Determines the (Anomalous) Spreading
of Wave Packets?
T. Geisel, Max-Planck-Institut für Strömungsforschung
and University of Göttingen, Germany; R. Ketzmerick, University
of Göttingen, Germany; and K. Kruse, Max-Planck Institut für
Strömungsforschung
- 11:00-11:25 Hidden Dimer in Frenkel-Kontorova Model: Extended,
Critical and Localized States in Quasiperiodic System with an
Infinite Number of Steps
- Indu Satija, George Mason University; and Jukka Ketoja,
KCL Paper Science Center, Espoo, Finland
- 11:30-11:55 Dissipative and Hamiltonian Dynamics with Fractal
Fourier Spectra: Symbolic Description and Multifractality
- Michael Zaks and Jürgen Kurths, Potsdam University, Germany
MMD, 5/21/99