The Strange Eigenmode in Lagrangian Coordinates

Details The Strange Eigenmode in Lagrangian Coordinates The Strange Eigenmode in Lagrangian Coordinates

2004-03-15

arxiv.org/abs/nlin/0403027v2

Chaos 14, 531-538 (2004)

Nonlinear Sciences

Chaotic Dynamics

15 pages, 6 figures. RevTeX4 format with psfrag

Scientific paper

10.1063/1.1759431

For a distribution advected by a simple chaotic map with diffusion, the "strange eigenmode" is investigated from the Lagrangian (material) viewpoint and compared to its Eulerian (spatial) counterpart. The eigenmode embodies the balance between diffusion and exponential stretching by a chaotic flow. It is not strictly an eigenmode in Lagrangian coordinates, because its spectrum is rescaled exponentially rapidly.

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