Resonant interactions in Bénard-Marangoni convection in cylindrical containers

Details Resonant interactions in Bénard-Marangoni convection in cylindrical containers Resonant interactions in Bénard-Marangoni convection in cylindrical containers

1996-06-06

arxiv.org/abs/chao-dyn/9605016v1

Nonlinear Sciences

Chaotic Dynamics

33 pages, latex, 14 figures, epsfig macro included. To appear in Physica D

Scientific paper

Convection in a cylindrical container of small aspect ratio is studied. It is known that when, in addition to buoyancy forces, thermocapillarity effects are taken into account, resonant interactions of two modes may appear. In the case of 1:2 resonance amplitude equations are derived, showing the existence of a stable heteroclinic orbit and rotating waves, until now not observed experimentally.

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