Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source
- We outline a possibility of hyperbolic chaotic dynamics associated with the expanding circle map for spatial phases of parametrically excited standing wave patterns. The model system is governed by a one-dimensional wave equation with nonlinear dissipation. The phenomenon arises due to the pump modulation providing the alternating excitation of modes with the ratio of characteristic scales 1 : 3. DOI: 10.1103/PhysRevE.87.040901
| Author details: | Olga B. Isaeva, Alexey S. Kuznetsov, Sergey P. Kuznetsov |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.87.040901 |
| ISSN: | 1539-3755 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Volume: | 87 |
| Issue: | 4 |
| Number of pages: | 4 |
| Funding institution: | RFBR [12-02-31342, 12-02-00541]; RFBR-DFG [11-02-91334] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
