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SPADE4: Sparsity and Delay Embedding Based Forecasting of Epidemics
Predicting the evolution of diseases is challenging, especially when the data availability is scarce and incomplete. The most popular tools for...
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Delay Parameter Selection in Permutation Entropy Using Topological Data Analysis
Permutation entropy is a powerful tool for quantifying the complexity of a signal which includes measuring the regularity of a time series....
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Frequency theorem and inertial manifolds for neutral delay equations
We study the infinite-horizon quadratic regulator problem for linear control systems in Hilbert spaces, where the cost functional is in some sense...
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Nonlinear Schrödinger Equation with Delay and Its Regularization
AbstractThe properties of an initial-boundary value problem for a nonlinear Schödinger equation including terms with a delay of the time argument in...
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Model-Free Control of Time Delay Systems
In this chapter, we present delay compensation schemes for the stabilization of time delay systems using reinforcement learning (RL). An extended...
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Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay
For Lamé system with degenerate memory and nonlinear time-varying delay with some appropriate assumptions, the global well-posedness and asymptotic...
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Are delay-differential systems generically controllable?
In this paper, we study controllability properties of time-invariant linear delay-differential (d-d) systems with a single delay in the pseudo-state....
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Polylinear Differential Realization of Deterministic Dynamic Chaos in the Class of Higher Order Equations with Delay
AbstractA characteristic criterion (and its modifications) of the solvability of differential realization of the bundle of controlled trajectory...
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General decay of the solution to a nonlinear viscoelastic beam with delay
In this paper we consider a nonlinear viscoelastic beam with a linear delay term and infinite memory term. The well posedness of solutions is proved...
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Long-term dynamics of fractional stochastic delay reaction–diffusion equations on unbounded domains
In this paper, we investigate the long-term dynamics of fractional stochastic delay reaction-diffusion equations on unbounded domains with a...
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The Existence of Periodic Solutions for Second-Order Delay Differential Systems
In this paper, we consider a kind of second-order delay differential system. By taking some transforms, the property of delay is reflected in the...
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On the Asymptotic Stability of Hilfer Fractional Neutral Stochastic Differential Systems with Infinite Delay
This article explores the existence and asymptotic stability in the p -th moment of mild solutions to a class of Hilfer fractional neutral stochastic...
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Global nonexistence of solution for a nonlinear Klein–Gordon equation with strong dam**, distributed delay and source terms
In the present work, we consider a nonlinear Klein–Gordon equation with strong dam**, distributed delay and source terms. Under suitable...
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Stabilization of the Viscoelastic Wave Equation with Variable Coefficients and a Delay Term in Nonlocal Boundary Feedback
In this paper, we investigate the viscoelastic wave equation with variable coefficients and a delay, which is subject to nonlinear and nonlocal...
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Exponential Stabilization of a Parabolic-Hyperbolic System with Localized Dam** and Delay
In this work, we are concerned with the well-posedness of solutions as well as the asymptotic behavior of the energy related to the semilinear...
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High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays
We present a Lohner-type algorithm for rigorous integration of systems of delay differential equations (DDEs) with multiple delays, and its...
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Dynamics of Suspension Bridge Equation with Delay
Long-time dynamics of the solutions for the suspension bridge equation with constant and time-dependent delays have been investigated, but there are...
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Discussion on Existence of Mild Solutions for Hilfer Fractional Neutral Stochastic Evolution Equations Via Almost Sectorial Operators with Delay
In this paper, we formulate a new set of sufficient conditions for the existence of mild solutions for Hilfer fractional neutral stochastic evolution...
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On the energy decay of a nonlinear time-fractional Euler–Bernoulli beam problem including time-delay: theoretical treatment and numerical solution techniques
In this work, an extended Euler–Bernoulli beam equation is addressed, where numerous phenomena are covered including dam**, time-delay, and...
