Curvature Fields, Topology, and the Dynamics of Spatiotemporal Chaos

Details Curvature Fields, Topology, and the Dynamics of Spatiotemporal Chaos Curvature Fields, Topology, and the Dynamics of Spatiotemporal Chaos

2007-06-25

arxiv.org/abs/0706.3655v2

Physics

Fluid Dynamics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.99.194502

The curvature field is measured from tracer particle trajectories in a two-dimensional fluid flow that exhibits spatiotemporal chaos, and is used to extract the hyperbolic and elliptic points of the flow. These special points are pinned to the forcing when the driving is weak, but wander over the domain and interact in pairs at stronger driving, changing the local topology of the flow. Their behavior reveals a two-stage transition to spatiotemporal chaos: a gradual loss of spatial and temporal order followed by an abrupt onset of topological changes.

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