Results 21 to 30 of about 42,377 (221)
Asymptotic stability of an epidemiological fractional reaction-diffusion model
Demonstratio Mathematica, 2023 The aim of this article is to study the known susceptible-infectious (SI) epidemic model using fractional order reaction-diffusion fractional partial differential equations [FPDEs] in order to better describe the dynamics of a reaction-diffusion SI with ...
Djebara Lamia +2 more
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Exponential stability results for variable delay difference equations [PDF]
Opuscula Mathematica, 2021 Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation \[x(n+1)=a(n)x(n)+b(n)x(n-g(n))\] are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals.
Ernest Yankson
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Advances in Difference Equations, 2019 In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya +5 more
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One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers [PDF]
, 2013 We study the one-dimensional Schr\"odinger equation with a disordered potential of the form $V (x) = \phi(x)^2+\phi'(x) + \kappa(x) $ where $\phi(x)$ is a Gaussian white noise with mean $\mu g$ and variance $g$, and $\kappa(x)$ is a random superposition ...
Grabsch, Aurélien +2 more
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Statistical mechanics of temporal association in neural networks with transmission delays [PDF]
, 1991 We study the representation of static patterns and temporal sequences in neural networks with signal delays and a stochastic parallel dynamics. For a wide class of delay distributions, the asymptotic network behavior can be described by a generalized ...
A. C. C. Coolen +19 more
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Coarsening versus pattern formation [PDF]
, 2015 It is known that similar physical systems can reveal two quite different ways of behavior, either coarsening, which creates a uniform state or a large-scale structure, or formation of ordered or disordered patterns, which are never homogenized.
Nepomnyashchy, A. A.
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Entropy, 2023 We studied the dynamical behaviors of degenerate stochastic differential equations (SDEs). We selected an auxiliary Fisher information functional as the Lyapunov functional.
Qi Feng, Wuchen Li
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Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems
IEEE Access, 2019 The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang +3 more
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MANAS: Journal of Engineering, 2021 In this manuscript, we consider the first order neutral Volterra integro-differential equation (NVIDE) with delay argument. Firstly, we obtain novel sufficient conditions to establish the asymptotic behaviours of solutions of considered NVIDE using the ...
Yener Altun
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On the relationship between instability and Lyapunov times for the 3-body problem
, 2008 In this study we consider the relationship between the survival time and the Lyapunov time for 3-body systems. It is shown that the Sitnikov problem exhibits a two-part power law relationship as demonstrated previously for the general 3-body problem ...
D. C. Heggie +12 more
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