Results 21 to 30 of about 4,104,623 (169)
Perturbations of Superintegrable Systems [PDF]
A superintegrable system has more integrals of motion than degrees d of freedom. The quasi-periodic motions then spin around tori of dimension n < d. Already under integrable perturbations almost all n-tori will break up; in the non-degenerate case the ...
Mathematical Modeling +3 more
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Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning
First-principles modeling of dynamical systems is a cornerstone of science and engineering and has enabled rapid development and improvement of key technologies such as chemical reactors, electrical circuits, and communication networks.
Ward Quaghebeur +2 more
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Random N-Continued Fraction Expansions [PDF]
The N-continued fraction expansion is a generalization of the regular continued fraction expansion, where the digits 1 in the numerators are replaced by the natural number N. Each real number has uncountably many expansions of this form.
Mathematical Modeling +3 more
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Vertical Transmission in a Two-Strain Model of Dengue Fever
The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor.
David Murillo +4 more
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This article delves into the spectral problem associated with a multiple differentiation operator that features an integral perturbation of boundary conditions of one specific type, namely, regular but not strengthened regular.
Makhmud Sadybekov, Nurlan Imanbaev
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For a nonlocal initial-boundary value problem for a one-dimensional heat equation with not strongly regular boundary conditions of general type, an approximate difference scheme with weights is constructed.
Makhmud A. Sadybekov +1 more
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Shrinking random β-transformation [PDF]
For any n ≥ 3, let 1 < β < 2 be the largest positive real number satisfying the equation β n = β n−2 + β n−3 + · · · + β + 1. In this paper we define the shrinking random β-transformation K and investigate natural invariant measures for K, and the ...
Mathematical Modeling +3 more
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Simulation of thin film flows with a moving mesh mixed finite element method [PDF]
We present an efficient mixed finite element method to solve the fourth-order thin film flow equations using moving mesh refinement. The moving mesh strategy is based on harmonic mappings developed by Li et al. (2001,2002). To achieve a high quality mesh,
Mathematical Modeling +3 more
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On two four-dimensional curl operators and their applications
Academician O.A. Ladyzhenskaya emphasized the importance of constructing a fundamental system in the space of solenoidal functions for simple domains such as squares, cubes, and similar regions.
M.T. Jenaliyev +2 more
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Application of Heuristic Methods for Polymer Synthesis Process Optimization
A numerical algorithm has been developed for solving the problem of finding optimal conditions for the synthesis of polymers using heuristic optimization methods, and its effectiveness has been evaluated in the investigation of the copolymerization ...
Eldar Miftakhov +2 more
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