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Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels
We consider the asymptotic behaviour of the fluctuations for the empirical measures of interacting particle systems with singular kernels. We prove...
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Adaptive Control for group consensus of fuzzy singular fractional order multi-agent systems under non-fragile controller
This paper concentrates on the adaptive control for consensus of fuzzy singular fractional order multi-agent systems (FOMASs) under the fractional...
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Numerical treatment of singular functional systems in quantum calculus: adaptive backpropagated Levenberg–Marquardt neural networks
AbstractThe purpose of this research is to investigate the numerical solutions of singular functional delay differential equations (SFDDEs) of third,...
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On the symmetries of singular limits of spacetimes
We consider spacetime metrics with a given (but quite generic) dependence on a dimensionful parameter such that in the 0 and ∞ limits of that...
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Breather-like, singular, periodic, interaction of singular and periodic solitons, and a-periodic solitons of third-order nonlinear Schrödinger equation with an efficient algorithm
In this study, a diverse range of optical soliton solutions for the high-order nonlinear Schrödinger equation (NLSE) are discovered using the Sardar...
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Singular Interfacial Structures at Two Levels: Their Roles in the Development of Phase Transformation Crystallography
Faceted morphology is common in the microstructures resulting from solid-state phase transformations in a wide range of crystalline materials. This...
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Singular Trajectories of Forced Vibrations
As shown earlier by Zhuravlev, harmonically loaded linear conservative systems possess an alternative physically reasonable basis, which is generally... -
The low-rank hypothesis of complex systems
Complex systems are high-dimensional nonlinear dynamical systems with heterogeneous interactions among their constituents. To make interpretable...
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Analytic auxiliary mass flow to compute master integrals in singular kinematics
The computation of master integrals from their differential equations requires boundary values to be supplied by an independent method. These...
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Non-singular collapse scenario from generalized uncertainty principle
We study the implications of generalized uncertainty principle (GUP) on the process of gravitational collapse of a spherically symmetric homogeneous...
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Dust ion-acoustic singular solitons interaction with non-extensive electrons
Two nonlinear evolution equations (NLEEs) viz Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations are derived from the dust...
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Using the Accelerated Convergence Method for Solving the Singular Sturm–Liouville Problem
AbstractThis article is dedicated to the memory of L.D. Akulenko, who worked with the author of the article worked for more than 40 years. Within the...
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Chirped gray and singular optical solitons with generalized quadratic-cubic law of self-phase modulation and nonlinear chromatic dispersion
The objective of this study to investigate chirped gray and singular optical solitons with nonlinear chromatic dispersion. The proposed nonlinear...
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Singular solutions of the nonlocal nonlinear Schrödinger equation
The author considers Darboux transformation of three nonlocal NLS equations and proper reduction conditions for the eigenfunctions. The formulae of n -...
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Quantum context-aware recommendation systems based on tensor singular value decomposition
In this paper, we propose a quantum algorithm for recommendation systems which incorporates the contextual information of users to the personalized...
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Painlevé analysis, Painlevé–Bäcklund, multiple regular and singular kink solutions of dynamical thermopherotic equation drafting wrinkle propagation
The thermophoretic motion (TM) system with a variable heat transmission factor, based on the Korteweg-de Vries (KdV) equation, is used to model...
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Typical Cases of Singular Points in Low-Thrust Mission Optimization
AbstractThis paper presents typical examples of the appearance of singular points in the proximity of optimal trajectories in different interorbital...
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Quest for realistic non-singular black-hole geometries: regular-center type
We propose seven criteria to single out physically reasonable non-singular black-hole models and adopt them to four different spherically symmetric...
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Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
Classical mechanical systems with internal constraints will be examined using the extended symplectic formalism of Faddeev-Jackiw. We will derive the...