Features in dynamics of an almost conservative Ikeda map

Dynamics of the Ikeda map has been studied under conditions of very small dissipation, both in the autonomous regime and in the presence of an external noise signal. It is established that the system has a large number of coexisting low-period attractors (the lower the dissipation in the system, the greater the number of such attractors) and exhibits a rather long transient process. The action of an external noise leads to the breakage of most attractors.