Generalized synchronization of spatiotemporal chemical chaos

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Abstract
We report the synchronization of two spatially extended chemical systems. In one spatial dimension, under appropriate parameter conditions, the model systems exhibit a transition to turbulence via backfiring of pulses. By implementing continuous 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 different dynamical behavior. Using this technique, spatiotemporal chaos (turbulence) can be suppressed, maintained, or even enhanced depending on the dynamical behavior of the drive system. This could possibly be of relevance to biological systems, where in certain situations the emergence of chaos is undesirable while under different circumstances the loss of the chaotic dynamics is undesirable (epileptic seizures).

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