Characterizing strange nonchaotic attractors
- Strange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems. Two methods of their characterization are proposed. The first one is based on the bifurcation analysis of the systems, resulting from periodic approximations of the quasiperiodic forcing. Secondly, we propose th characterize their strangeness by calculating a phase sensitivity exponent, that measures the sensitivity with respect to changes of the phase of the external force. It is shown, that phase sensitivity appears if there is a non-zero probability for positive local Lyapunov exponents to occur.
| Author details: | Arkadij PikovskijORCiDGND, Ulrike FeudelORCiDGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-13405 |
| Publication series (Volume number): | NLD Preprints (2) |
| Publication type: | Preprint |
| Language: | English |
| Publication year: | 1994 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2007/05/16 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme | |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
