Spatiotemporal chaos arising from standing waves in a reaction-diffusion system with cross-diffusion
- We show that quasi-standing wave patterns appear in the two-variable Oregonator model of the Belousov-Zhabotinsky reaction when a cross-diffusion term is added, no wave instability is required in this case. These standing waves have a frequency that is half the frequency of bulk oscillations displayed in the absence of diffusive coupling. The standing wave patterns show a dependence on the systems size. Regular standing waves can be observed for small systems, when the system size is an integer multiple of half the wavelength. For intermediate sizes, irregular patterns are observed. For large sizes, the system shows an irregular state of spatiotemporal chaos, where standing waves drift, merge, and split, and also phase slips may occur.
| Verfasserangaben: | Igal Berenstein, Carsten BetaORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1063/1.3676577 |
| ISSN: | 0021-9606 |
| Titel des übergeordneten Werks (Englisch): | The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr |
| Verlag: | American Institute of Physics |
| Verlagsort: | Melville |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Jahr der Erstveröffentlichung: | 2012 |
| Erscheinungsjahr: | 2012 |
| Datum der Freischaltung: | 26.03.2017 |
| Band: | 136 |
| Ausgabe: | 3 |
| Seitenanzahl: | 4 |
| Fördernde Institution: | Alexander von Humboldt foundation |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer Review: | Referiert |
