ABSTRACT

Noise of both deterministic and stochastic origin has been the object of extensive investigations in recent times. A subject of special interest is the influence of stochastic fluctuations on the dynamics of a system which, under noise-free conditions, displays chaotic behavior. Generally, the aim of the type of investigations is to determine to what extent stochastic noise degrades the characteristic features of deterministic chaos and the temporal structures that emerge along the different routes to chaos. These analyses have led to the development of diagnostic techniques for the identification of chaos even in the presence of a certain amount of stochastic fluctuations. It is intuitively reasonable to expect that the influence of phase noise should become appreciable only when the coherence time of the input radiation becomes comparable to or even shorter than the period of the deterministic oscillations. Indication of the degree of frequency stability is given in order to observe the temporal structures predicted by the deterministic model.