TY  - JOUR
A1  - Berenstein, Igal
A1  - Beta, Carsten
T1  - Spatiotemporal chaos arising from standing waves in a reaction-diffusion system with cross-diffusion
T2  - The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr
N2  - 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.
Y1  - 2012
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/36190
SN  - 0021-9606
VL  - 136
IS  - 3
PB  - American Institute of Physics
CY  - Melville
ER  -