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Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics
The Helmholtz decomposition, a fundamental theorem in vector analysis, separates a given vector field into an irrotational (longitudinal,...
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Dynamic Oppositional Symmetries for Color, Jungian and Kantian Categories
This paper investigates some classical oppositional categories, like synthetic versus analytic, posterior versus prior, imagination versus grammar,...
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Algorithms for Structure Preserving Best Rank-one Approximations of Partially Symmetric Tensors
Based on the alternating least squares (ALS) technique and the singular value decomposition (SVD) technique, the algorithms for finding the structure...
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Equilibrium States of the Dynamic Conflict System for Three Players with a Parameter of Influence of the Ambient Environment
We study the mathematical model of an abstract society in the form of a complex dynamical system with conflict interaction between its elements. New...
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Information and dynamic trading with the Gambler’s fallacy
A multi-period stock trading model is developed in which there are two types of traders—a “rational” type and a “gambler’s fallacy” type—both...
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Global Stability Analysis of JAXA H-II Transfer Vehicle Re-entry Capsule
The Japan Aerospace Exploration Agency (JAXA) conducted experimental and numerical investigations on the H-II Transfer Vehicle Re-entry (HTV-R)...
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A Domain Decomposition Approach to Solve Dynamic Optimal Power Flow Problems in Parallel
We propose a parallel solver for linear systems of equations arising from the application of Primal Dual Interior Point methods to Dynamic Optimal...
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Analytical modeling and vibration analysis of fiber reinforced composite hexagon honeycomb sandwich cylindrical-spherical combined shells
This study analyzes and predicts the vibration characteristics of fiber-reinforced composite sandwich (FRCS) cylindrical-spherical (CS) combined...
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Dynamic Load Balancing for Coupled Simulation Methods
A dynamic load balancing technique for simulation methods based on hierarchical Cartesian meshes is presented for two applications in this paper. The...
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Cooperation in a Dynamic Setting with Asymmetric Environmental Valuation and Responsibility
We analyze an environmental agreement as a cooperative differential game between two regions. The agreement is jointly profitable, since the current...
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Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy
This project is based on a mathematical model of erythropoiesis for anemia (Fuertinger, A model of erythropoiesis. PhD thesis, Karl-Franzens...
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A Model of Stabilization of Chaotic Wave Processes in Complex Dynamical Systems from the Point of View of the Matrix Decomposition Theory
A general model of the origin and evolution of chaotic wave processes in complex systems based on the proposed method of matrix decomposition of...
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Numerical Research of the Gas Hydrate Decomposition in a Porous Reservoir with Impermeable Boundaries
AbstractIn a one-dimensional approximation, the decomposition of gas hydrate in a porous reservoir saturated in the initial state with methane and...
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Transfer matrix method for free and forced vibrations of multi-level functionally graded material stepped beams with different boundary conditions
Functionally graded materials (FGMs) are a novel class of composite materials that have attracted significant attention in the field of engineering...
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Finite-Data Error Bounds for Koopman-Based Prediction and Control
The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems, e.g., via extended dynamic mode...
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Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties
This paper deals with the co-existence of mixed aleatory and epistemic uncertainties in a wind turbine geared system for more reliable and robust...
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Dynamic metabolic resource allocation based on the maximum entropy principle
Organisms have evolved a variety of mechanisms to cope with the unpredictability of environmental conditions, and yet mainstream models of metabolic...
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Dynamic insights into malaria–onchocerciasis co-disease transmission: mathematical modeling, basic reproduction number and sensitivity analysis
Onchocerciasis and malaria stand as prominent vector-borne diseases, posing significant global health challenges in tropical regions. This study...
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Dynamic simulations of an encapsulated microbubble translating in a tube at low capillary and Reynolds numbers
The dynamic translation of a micron-sized encapsulated bubble is investigated numerically inside a horizontal tube where liquid flows under constant...
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On reduced input-output dynamic mode decomposition
The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not...