Nonlinear dynamics in space plasma turbulence: temporal stochastic chaos

Abstract Intermittent turbulence is key for understanding the stochastic nonlinear dynamics of space, astrophysical, and laboratory plasmas. We review theory deterministic temporal chaos in plasmas discuss its link to intermittent observed space First, we chaos, intermittency, complexity Alfvén waves, parametric decay modulational wave–wave interactions, absence/presence noise. The transition from order studied using bifurcation diagram. following two types are considered: type-I Pomeau–Manneville intermittency crisis-induced intermittency. role structures known as chaotic saddles investigated. associated with noise-induced presence multistability, studied. Next, present evidence magnetic reconnection coronal mass ejections solar corona wind via remote situ observations. signatures turbulent reconnection, i.e., bifurcated current sheet, reconnecting jet, parallel/anti-parallel Alfvénic spiky dynamical pressure pulse, well fully developed turbulence, detected at leading edge an interplanetary ejection interface region merging flux ropes. Methods quantifying degree coherence, amplitude–phase synchronization, multifractality multiscale fluctuations discussed. nature driven by determined a complexity–entropy analysis. Finally, relation similar phenomena astrophysical plasmas, e.g., flares stellar-exoplanetary environment Galactic Center, laser-plasma nuclear fusion experiments.