Synchronization of spatiotemporal chemical chaos using random signals |
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| Affiliation: | 1. Faculty of Engineering, Kanagawa University, 3-27-1, Rokkakubashi, Kanagawa-ku, Yokohama, Kanagawa, 221-8686, Japan;2. Faculty of Engineering, University of Miyazaki, 1-1, Gakuen Kibanadai Nishi, Miyazaki, 889-2192, Japan;3. Japan Society for the Promotion of Science, Japan;1. Department of Physics, Federal University of Paraná, 81531-990 Curitiba, Paraná, Brazil;2. Institute of Neuroinformatics, University of Zürich and Eidgenössische Technische Hochschule Zürich, 8057 Zürich, Switzerland |
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| Abstract: | We report the synchronization of two uncoupled spatially extended chemical systems by superimposing identical external random signals to both of them. In one spatial dimension, under appropriate parameter conditions the model systems exhibits a transition to turbulence via backfiring of pulses. Implementing the non-vanishing random signal control to the underlying partial differential equations, synchronization is achieved not only for identical systems, but also for systems operating under unequal parameter values exhibiting a different dynamical behavior (generalized synchronization). Finally, synchronization is also achieved under the influence of a random signal superimposed globally, thus making it relevant to experimental situations. |
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