Synchronizing spatiotemporal chaos

We show analytically and numerically that a pair of uni-directionally coupled spatially extended systems can synchronize. For the case of partial differential equations the synchronization can be achieved by applying the scalar driving signals only at finite number of space points. Our approach is very general and can be useful for practical applications since the synchronization is achieved via feeding in the response system only the information from certain (discrete) spatial locations of the drive system. We also stress some open problems in the field of synchronization of spatiotemporal chaos. (c) 1997 American Institute of Physics.     

ADHD candidate gene (DRD4 exon III) affects inhibitory control in a healthy sample

Background  

Dopamine is believed to be a key neurotransmitter in the development of attention-deficit/hyperactivity disorder (ADHD). Several recent studies point to an association of the dopamine D4 receptor (DRD4) gene and this condition. More specifically, the 7 repeat variant of a variable number of tandem repeats (VNTR) polymorphism in exon III of this gene is suggested to bear a higher risk for ADHD. In the present study, we investigated the role of this polymorphism in the modulation of neurophysiological correlates of response inhibition (Go/Nogo task) in a healthy, high-functioning sample.     

Two-grid finite element scheme for the fully discrete time-dependent Navier–Stokes problem

In this Note, we study a two-grid scheme fully discrete in time and space for solving the Navier–Stokes system. In the first step, the fully non-linear problem is discretized in space on a coarse grid with mesh-size H and time step k. In the second step, the problem is discretized in space on a fine grid with mesh-size h and the same time step, and linearized around the velocity $u_H$ computed in the first step. The two-grid strategy is motivated by the fact that under suitable assumptions, the contribution of $u_H$ to the error in the non-linear term, is measured in the $L^2$ norm in space and time, and thus has hopefully a higher-order than if it were measured in the $H^1$ norm in space. We present the following results: if $h=H^2=k,$ then the global error of the two-grid algorithm is of the order of h, the same as would have been obtained if the non-linear problem had been solved directly on the fine grid. To cite this article: H. Abboud et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005).     

Side chain modified sterols as probes into insect molting hormone metabolism. I: synthesis of monofluorophytosterols

25- and 26-monofluorophytosterols were synthesized from stigmasterol as potential arthropod-activated competitive inhibitors of side chain hydroxylations occuring in ecdysone biogenesis.