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Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent dam**: theory and numerics
We consider a swelling porous elastic system with a single nonlinear variable exponent dam**. We establish the existence result using the...
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Polynomial stability of transmission system for coupled Kirchhoff plates
In this paper, we study the asymptotic behavior of transmission system for coupled Kirchhoff plates, where one equation is conserved and the other...
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A second-order polynomial kernel outperforms Gaussian kernels when smoothing Lagrangian particle trajectories
Accurate reconstruction of particle acceleration requires post-processing of Lagrangian particle trajectories to limit noise amplification by...
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General Decay Synchronization of State and Spatial Diffusion Coupled Delayed Memristive Neural Networks With Reaction-diffusion Terms
This paper aims at the study of the general decay synchronization of state and spatial diffusion coupled delayed reaction-diffusion memristive neural...
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About polynomial stability for the porous-elastic system with Fourier’s law
In this paper, we consider the porous-elastic equations mixing Kelvin–Voigt dissipation mechanisms and the thermal effect given by Fourier’s law. We...
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Decay for strain gradient porous elastic waves
We study the one-dimensional problem for the linear strain gradient porous elasticity. Our aim is to analyze the behavior of the solutions with...
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A Polynomial Approach for Thermoelastic Wave Propagation in Functionally Gradient Material Plates
Functionally gradient material (FGM) in service often experience temperature variations that can affect the propagation characteristics of guided...
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Polynomial-Based Guidance Law Design for Various Target Motions
This paper aims to devise impact time guidance law for intercepting various types of targets with terminal angle constraint. The design of the...
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From Koeller’s Idea to Modern Fractional Calculus: Fractional Polynomial Operators
In this chapter, Koeller’s original idea on polynomial fractional operators with singular (Riesz) kernels and solutions to a few viscoelasticity...
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Class of Optimal Polynomial Window Functions for Spectral Analysis of Signals
AbstractThe problem of synthesis of low-order polynomial window functions with an arbitrarily specified decay rate of spectral lobes (optimal with...
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Determination of the polynomial restoring force of a one DoF bistable Duffing oscillator by linear regression
A large class of energy-harvesting systems includes a bistable magnetoelastic oscillator. Due to the high complexity of the inherent magnetic field...
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Exponential Decay of Processes in Positive Nonlinear Systems and Fractional Feedback Systems
The exponential decay of transient process in nonlinear continuous-time and discrete-time standard and fractional orders with linear dynamical...
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Performance Analysis of Linear and Hybrid Precoding on Massive MIMO System Using Truncated Polynomial Expansion
This research examines the performing of linear precoding techniques in downlink massive MIMO systems. The downlink massive MIMO systems, linear...
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Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic dam** problem involving Bresse system
We consider an elastic/viscoelastic problem for the Bresse system with fully Dirichlet or Dirichlet–Neumann–Neumann boundary conditions. The physical...
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Maximum Exponential Decay Rate for First-Order Time-Delay Systems with PI Controllers
This paper focuses on the characterization of the maximum exponential decay rate for first-order time-delay systems in closed-loop with PI...
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The Dynamics in a Simple Polynomial Oscillatory System Under Periodic Excitation: Conservative Chaos in a Single-Well Potential
BackgroundConservative chaos is one of the most interesting objects in modern nonlinear dynamics and chaos theory.
PurposeIn this paper, we are...
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Bi-fidelity reduced polynomial chaos expansion for uncertainty quantification
A ubiquitous challenge in design space exploration or uncertainty quantification of complex engineering problems is the minimization of computational...
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Existence and energy decay of a Bresse system with thermoelasticity of type III
In this paper, we investigate a one-dimensional thermoelastic Bresse system, where the heat conduction is given by Green and Naghdi theories. Under...
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Study on Parameter Characteristics and Sensitivity of Equivalent Circuit Model of Lithium Iron Phosphate Battery in Decay Dimension
Accurately simulating the terminal voltage characteristics of lithium-ion batteries in the whole life cycle is the key index to evaluate the...