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217 Result(s)
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Article
Diagnosability and attack detection for discrete event systems under sensor attacks
This paper extends the theory of diagnosability by investigating fault diagnosis in discrete event systems under sensor attacks using finite-state automata as models. It assumes that an attacker has compromise...
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Article
Aubry-Mather theory for contact Hamiltonian systems III
By exploiting the contact Hamiltonian dynamics (T* M × ℝ, Φt) around the Aubry set of contact Hamiltonian systems, we provide a relation among the Mather set, the Φt-recurrent set, the strongly static set, the Au...
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Article
Characterization of Holomorphic Invariant Complex Finsler Metrics and Schwarz Lemma on the Polyball
A domain \(\pmb {B}\subset \mathbb {C}^N\) B ...
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Article
Itô-Taylor Expansion Method of European Spread Option Pricing for Multivariate Diffusions with Jumps
In this paper, we propose a new method for spread option pricing under the multivariate irreducible diffusions without jumps and with different types of jumps by the expansion of the transition density functio...
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A sufficient and necessary condition for one dimensional boundary blow-up problem with p-Laplace operator
The existence, uniqueness and asymptotic behavior for one dimensional boundary blow-up problem with p-Laplace operator has been investigated. This problem arises in many fields, such as in the theory of automo...
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Open AccessNonlinear dynamics of a circular curved cantilevered pipe conveying pulsating fluid based on the geometrically exact model
Due to the novel applications of flexible pipes conveying fluid in the field of soft robotics and biomedicine, the investigations on the mechanical responses of the pipes have attracted considerable attention....
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Article
Biharmonic Riemannian Submersions from a 3-Dimensional BCV Space
BCV spaces are a family of 3-dimensional Riemannian manifolds which include six of Thurston’s eight geometries. In this paper, we give a complete classification of proper biharmonic Riemannian submersions from...
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Mixture estimate in fractional sense and its application to the well-posedness of the Boltzmann equation with very soft potential
In this paper, we consider the Boltzmann equation with angular-cutoff for very soft potential case \(-3<\gamma \le -2\) ...
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Article
Numerical Conservations of Energy, Momentum and Actions in the Full Discretisation for Nonlinear Wave Equations
This paper analyses the long-time behaviour of one-stage symplectic or symmetric trigonometric integrators when applied to nonlinear wave equations. It is shown that energy, momentum, and all harmonic actions ...
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Article
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem
In this paper, we consider the sharp interface limit of a matrix-valued Allen–Cahn equation, which takes the form: $$\begin{aligned} \partial ...
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Article
Spreading–Vanishing Scenarios in a Time-Periodic Parasitic–Mutualistic Model of Mistletoes and Birds in Heterogeneous Environment with Free Boundary
In this paper, we investigate the asymptotic dynamics of a time-periodic parasitic–mutualistic model of mistletoes and birds in heterogeneous environment with the especial concerns over the spreading–vanishing...
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Article
Supervisory control to maximize mean time to failure in discrete event systems
In this paper, we investigate the use of supervisory control to maximize mean time to failure in a discrete event system framework. A complex engineering system is modeled as a discrete event system. Some of t...
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Article
The quaternion beam model for hard-magnetic flexible cantilevers
The recently developed hard-magnetic soft (HMS) materials manufactured by embedding high-coercivity micro-particles into soft matrices have received considerable attention from researchers in diverse fields, e...
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Article
An Efficient Spectral Trust-Region Deflation Method for Multiple Solutions
It is quite common that a nonlinear partial differential equation (PDE) admits multiple distinct solutions and each solution may carry a unique physical meaning. One typical approach for finding multiple solut...
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Article
Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infec...
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Article
Transformer-Based Deep Learning Network for Tooth Segmentation on Panoramic Radiographs
Panoramic radiographs can assist dentist to quickly evaluate patients’ overall oral health status. The accurate detection and localization of tooth tissue on panoramic radiographs is the first step to identify...
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Article
Sharp Condition for Global Existence of Supercritical Nonlinear Schrödinger Equation with a Partial Confinement
We study the L2-supercritical nonlinear Schrödinger equation (NLS) with a partial confinement, which is the limit case of the cigar-shaped model in Bose-Einstein condensate (BEC). By constructing a cross constrai...
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Article
Global Dynamics and Optimal Control of Multi-Age Structured Vector Disease Model with Vaccination, Relapse and General Incidence
Vaccine effectiveness, disease recovery and recurrence are important issues that must be faced in the prevention and control of vector-borne infectious diseases. We develop, in this paper, a dynamical model of...
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Article
Heat Kernel and Monotonicity Inequalities on the Graph
Let \(G=(V,E)\) G = ( V ...
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Article
On Equilibrium in a Constant Retrial Queuing System with Reserved Time and Vacations
This paper investigates an M/M/1 constant retrial queue with reserved time and vacations. A new arriving customer will take up the server and accept service immediately if the server is idle. Otherwise, if the...