Wednesday, May 26

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

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MMD, 5/21/99