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HOMOCLINIC ORBITS IN TRANSITIONAL PLANE COUETTE FLOW
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 Title & Authors
HOMOCLINIC ORBITS IN TRANSITIONAL PLANE COUETTE FLOW
Lustro, Julius Rhoan T.; Kawahara, Genta; van Veen, Lennaert; Shimizu, Masaki;
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 Abstract
Recent studies on wall-bounded shear flow have emphasized the significance of the stable manifold of simple nonlinear invariant solutions to the Navier-Stokes equation in the formation of the boundary between the laminar and turbulent regions in state space. In this paper we present newly discovered homoclinic orbits of the Kawahara and Kida(2001) periodic solution in plane Couette flow. We show that as the Reynolds number decreases a pair of homoclinic orbits move closer to each other until they disappear to exhibit homoclinic tangency.
 Keywords
subcritical transition to turbulence;periodic orbit;homoclinic orbit;
 Language
English
 Cited by
 References
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