Crisis bifurcations in plane Poiseuille flow.

摘要: Many shear flows follow a route to turbulence that has striking similarities bifurcation scenarios in low-dimensional dynamical systems. Among the bifurcations appear, crisis are important because they cause global transitions between open and closed attractors, or indicate drastic increases range of state space is covered by dynamics. We here study exterior interior direct numerical simulations transitional plane Poiseuille flow mirror-symmetric subspace. trace dynamics from appearance first three-dimensional exact coherent structures transition an attractor chaotic saddle crisis. For intermediate Reynolds numbers, undergoes several crises, which new states appear intermittent behavior can be observed. The contribute increasing complexity more dense coverage space.