RIDDLED BEHAVIOR IN A SYNCHRONIZED SYSTEM WITH NEUTRAL FEEDBACK

In chaotic systems, the initial conditions in phase space or the param eters of the system govern the dynamical behavior. There are systems h aving multiple attractors that exhibit ''riddled basins.'' In these ca ses, the dependence on the initial conditions becomes more serious, an d we cannot even predict which attractor the system is destined to hav e after time evolution. In this work, we studied the riddled behavior in a synchronized system with neutral feedback. Some characteristic ex ponents were obtained by computer simulation for the system near the c ritical point, and we found that the scaling exponent eta for the meas ure of the riddled basin did not follow the simple power law predicted by Ott et al. Our result revealed that the simple power law of Ott et al. holds only in a specific parameter range.