Domain Walls for the Bénard–Rayleigh Convection Problem with “Rigid–Free” Boundary Conditions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-021-09986-0
Abstract: We prove the existence of domain walls for the Benard–Rayleigh convection in the case of “rigid–free” boundary conditions. In the recent work (Haragus and Iooss in Arch Ration Mech Anal 239:733–781, 2021), we studied this… read more here.
Keywords: center manifold; domain walls; rayleigh convection; boundary conditions ... See more keywords
Station-keeping of libration point orbits by means of projecting to the manifolds
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DOI: 10.1016/j.actaastro.2018.12.002
Abstract: Abstract There are many different types of (quasi)periodic orbits in the vicinity of collinear libration points. These libration point orbits (LPOs) are inherently unstable and must be controlled. This paper studies general station-keeping strategies that… read more here.
Keywords: libration; center manifold; point orbits; station keeping ... See more keywords
Center Manifold Analysis of Plateau Phenomena Caused by Degeneration of Three-Layer Perceptron
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DOI: 10.1162/neco_a_01268
Abstract: A hierarchical neural network usually has many singular regions in the parameter space due to the degeneration of hidden units. Here, we focus on a three-layer perceptron, which has one-dimensional singular regions comprising both attractive… read more here.
Keywords: center manifold; degeneration; layer perceptron; three layer ... See more keywords