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Bifurcation Analysis of a Pulse-Width Control System
AbstractWe study local bifurcations in a control system with pulse-width modulation of the first kind (PWM-1) whose state is described by a...
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Error bounds for ReLU networks with depth and width parameters
Neural networks have shown high successful performance in a wide range of tasks, but further studies are needed to improve its performance. We...
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Median quasimorphisms on \({{\,\mathrm{{CAT}}\,}}(0)\) cube complexes and their cup products
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks...
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Diameter, width and thickness in the hyperbolic plane
In hyperbolic geometry there are several concepts to measure the breadth or width of a convex set. In the first part of the paper we collect them and...
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Linear Differential Equations with Hukuhara Derivative Preserving the Constant Width Property
AbstractWe obtain a complete description of linear differential equations with the Hukuhara derivative that preserve the property of solutions to be...
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Numerical dynamics of the Generalized Equal Width (GEW) wave equation in presence of high-order nonlinearity
In the present manuscript, Generalized Equal Width (GEW) wave equation which is an alternative model to shallow water wave with high-order...
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Estimate for the Order of Orthoprojection Width of the Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces
We obtain a sharp estimate for the order of the orthoprojection width of the Nikol’skii–Besov class with mixed smoothness and mixed metric in the...
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Strong Modeling Limits of Graphs with Bounded Tree-Width
The notion of first order convergence of graphs unifies the notions of convergence for sparse and dense graphs. Nešetřil and Ossona de Mendez [J.... -
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