  We consider a population of agents competing for finite resources using
strategies based on two channels of signals. The model is applicable to
financial markets, ecosystems and computer networks. We find that the dynamics
of the system is determined by the correlation between the two channels. In
particular, occasional mismatches of the signals induce a series of transitions
among numerous attractors. Surprisingly, in contrast to the effects of noises
on dynamical systems normally resulting in a large number of attractors, the
number of attractors due to the mismatched signals remains finite. Both
simulations and analyses show that this can be explained by the antipersistent
nature of the dynamics. Antipersistence refers to the response of the system to
a given signal being opposite to that of the signal's previous occurrence, and
is a consequence of the competition of the agents to make minority decisions.
Thus, it is essential for stabilizing the dynamical systems.
