Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-03-15
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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