The strange eigenmode in Lagrangian coordinates | Zendy

JeanLuc Thiffeault | Zendy

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The strange eigenmode in Lagrangian coordinates

Author(s) -

JeanLuc Thiffeault

Publication year - 2004

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.1759431

Subject(s) - normal mode , chaotic , eulerian path , classical mechanics , mathematical analysis , diffusion , mathematics , physics , lagrangian , exponential function , eigenmode expansion , quantum mechanics , vibration , computer science , artificial intelligence

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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