Figure 1

(Color) Fiber laser state diagram in the modulation frequency and noise amplitude parameter space. Different colors stand for different periodic and intermittent states.Reuse & Permissions

Figure 2

(a)–(c) Time series and (d)–(f) power spectra of the laser intensity for coexisting (a),(d) period-1 $\left(P1\right)$, (b),(e) period-3 $\left(P3\right)$, and (c),(f) period-4 $\left(P4\right)$ regimes when an external noise $N_{\mathit{in}}=150\mathrm{mV}$ is applied. This noise is relatively small, so that no hopping dynamics is observed. For each dynamical regime, the power spectrum displays a different level of frequency-dependent output noise (ground level) indicated by the horizontal dashed lines for $f_m=87\mathrm{kHz}$. Note the difference in the intensity scale in (c).Reuse & Permissions

Figure 3

Time series in hopping dynamics involving (a) two periodic orbits ($P3$ and $P1$) at $N_{\mathit{in}}=0.5\mathrm{V}$, (b) three periodic orbits ($P3$, $P1$, and $P4$) at $N_{\mathit{in}}=0.9\mathrm{V}$, and (c) four periodic orbits ($P3$, $P1$, $P4$, and $P5$) at $N_{\mathit{in}}=1.5\mathrm{V}$. Note the difference in the intensity scales.Reuse & Permissions

Figure 4

(a) Average output noise versus input noise for three coexisting attractors and intermittency regimes. The dotted lines show the boundaries between different regimes and the solid lines are linear fits of the slopes. The three attractors coexistence is observed only for relatively low external noise $(N_{\mathit{in}}<0.2\mathrm{V})$. The noise saturation effect is clearly seen in the middle part of the figure. (b) Probability of visiting different attracting sets calculated by summing the duration of periodic windows in ten time series for every noise value. The bold line is the exponential decay fit for the period-3 orbit. (c) The Shannon entropy of the symbol sequence as a function of noise. (d) Mean escape times $⟨T_i⟩$ for different attracting sets as a function of the noise amplitude excess over critical noise $N_i$ at the onset of intermittency for the period-$i$ state. $N_{1,4,5}=190,800$, $1150\mathrm{mV}$. The inset in Fig. 4d shows the scaling of the probability distribution for period-1 windows inside the intermittent $P3\text{−}P1$ regime showing the $-3∕2$ power law (straight line) for $N_{\mathit{in}}=200\mathrm{mV}$.Reuse & Permissions