# Mathematical Digest

### Short Summaries of Articles about Mathematics

in the Popular Press

"Synchronization from chaos," by Peter Ashwin. *Nature,* 27 March 2003.

"It isn't easy to create a semblance of order in interconnected dynamical systems," this article says. "But a mathematical tool could be the means to synchronize systems more effectively--and keep chaos at bay." The author summarizes the contributions of G. W. Wei, M. Zhan and C.-H. Lai (published in *Physical Review Letters*) to the theory of how to control dynamical chaos. Wei et al are approaching the problem of minimizing the level of coupling required to achieve synchronization: the researchers "have come up with a novel way of reducing the necessary coupling in an array by using wavelet decomposition of the matrix of coupling coefficients, [and have] tested their method by synchronizing a ring of coupled Lorenz systems."

*--- Annette Emerson*