thumb|Intermittency in logistic map with r = 3.8282. The trajectory alternates between almost period-3 trajectories and chaotic trajectories. At r = 1 + \sqrt 8 \approx 3.8284 a stable period-3 trajectory emerges. thumb|The intermittency in logistic map can be understood by looking at the cobweb diagram for logistic map (iterated three times). In the cobweb diagram, there are almost-tangencies where the trajectory can be trapped for a long time. thumb|Intermittent jumping between two potential wells in the driven Duffing equation|Duffing oscillator. This is an example of crisis-induced intermi
thumb|Intermittency in logistic map with r = 3.8282. The trajectory alternates between almost period-3 trajectories and chaotic trajectories. At r = 1 + \sqrt 8 \approx 3.8284 a stable period-3 trajectory emerges. thumb|The intermittency in logistic map can be understood by looking at the cobweb diagram for logistic map (iterated three times). In the cobweb diagram, there are almost-tangencies where the trajectory can be trapped for a long time. thumb|Intermittent jumping between two potential wells in the driven Duffing equation|Duffing oscillator. This is an example of crisis-induced intermittency. thumb|alt=Intermittency|Lorenz attractor showing intermittency. The system spends long periods close to the bright periodic orbit, occasionally moving away for phases of chaotic dynamics that cover the rest of the attractor. This is an example of Pomeau–Manneville dynamics. In dynamical systems, intermittency is the irregular alternation of phases of apparently periodic and chaotic dynamics (Pomeau–Manneville dynamics), or different forms of chaotic dynamics (crisis-induced intermittency).
Experimentally, intermittency appears as long periods of almost periodic behavior interrupted by chaotic behavior. As control variables change, the chaotic behavior become more frequent until the system is fully chaotic. This progression is known as the intermittency route to chaos.
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).