The Strange Eigenmode in Lagrangian Coordinates

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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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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