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Localized periodic orbits in plane Poiseuille flow

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A family of localized periodic orbits for the plane Poiseuille system is presented. The discovered orbits exist in long but narrow domains for a wide range in Reynolds number and are localized in streamwise direction. In long and wide domains we were able to obtain fully localized periodic orbits. Furthermore, the orbits are localized version of the edge state in smaller domains that is a simple travelling wave.

Author(s):

Stefan Zammert    
Philipps-Universität Marburg
Germany

Bruno Eckhardt    
Philipps-Universität Marburg
Germany