A mean-field formulation is used to investigate the bifurcation diagram for
globally coupled tent maps by means of an analytical approach. It is shown that
the period doubling sequence of the single site map induces a continuous family
of periodic states in the coupled system. This type of collective motion breaks
the ergodicity of the coupled map lattice. The stability analysis suggests that
these states are stable for weak coupling strength but opens the possibility
for more complicated types of motion in the regime of moderate coupling.Comment: 12 pages, Latex, 3 eps figures included also available "at
http://athene.fkp.physik.th-darmstadt.de/public/wolfram.html" or "at
ftp://athene.fkp.physik.th-darmstadt.de/pub/publications/wolfram/" Phys. Rep.
in pres