  We propose a new method to investigate collective behavior in a network of
globally coupled chaotic elements generated by a tent map. In the limit of
large system size, the dynamics is described with the nonlinear
Frobenius-Perron equation. This equation can be transformed into a simple form
by making use of the piecewise linear nature of the individual map. Our method
is applied successfully to the analyses of stability of collective stationary
states and their bifurcations.
