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Asymptotic Stability Region of Slotted Aloha [PDF]
IEEE Transactions on Information Theory, 2012 We analyze the stability of standard, buffered, slotted-Aloha systems. Specifically, we consider a set of $N$ users, each equipped with an infinite buffer. Packets arrive into user $i$'s buffer according to some stationary ergodic Markovian process of intensity $ _i$. At the beginning of each slot, if user $i$ has packets in its buffer, it attempts to
Bordenave, Charles +2 more
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Exponential stability for a class of set dynamic equations on time scales
Journal of Inequalities and Applications, 2022 We first present a new definition for some form of exponential stability of solutions, including H-exponential stability, H-exponentially asymptotic stability, H-uniformly exponential stability, and H-uniformly exponentially asymptotic stability for a ...
Keke Jia +3 more
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An Asymptotic Stability and a Uniform Asymptotic Stability for Functional Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1993 We consider a system of functional differential equation x ′ ( t ) = F ( t , x t ) {x’}(t) = F(t,{x_t}) and obtain conditions on a Liapunov functional to ensure the ...
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Zero rank asymptotic Bridgeland stability
Journal of Geometry and Physics, 2022 In this paper we examine the conditions that an object $E$ with $\text{ch}_0(E)=0$ has to satisfy in order for it to be asymptotically (semi)stable with regard to Weak or Bridgeland stability conditions. This notion turned out to be equivalent to sheaf Gieseker-Simpson (semi)stability or a dual of it, depending on the curve considered.
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Asymptotic stability of the Skyrmion [PDF]
Physical Review D, 2007 We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail).
Bizoń, Piotr +2 more
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Asymptotic Stability and Asymptotic Synchronization of Memristive Regulatory-Type Networks
Advances in Mathematical Physics, 2017 Memristive regulatory-type networks are recently emerging as a potential successor to traditional complementary resistive switch models. Qualitative analysis is useful in designing and synthesizing memristive regulatory-type networks.
Jin-E Zhang
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Heliyon, 2021 This paper presents asymptotic behaviour of solution to certain nonlinear nonautonomous neutral functional differential equation of the third order. The third order functional differential equation is cut back to system of first order and used together ...
Adeleke Timothy Ademola
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On Stability of Linear Delay Differential Equations under Perron's Condition
Abstract and Applied Analysis, 2011 The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability ...
J. Diblík, A. Zafer
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Oscillation and Global Asymptotic Stability
Journal of Mathematical Analysis and Applications, 2000 The authors establish oscillation results and global asymptotic stability for the difference equation \[ y_{n+1}= A+{y_ny_{n-2} \cdots y_{n-(2k-2)} \over y_{n-1}y_{n-3} \cdots y_{n-(2k-1)}},\;A>0,\;k\geq 2,\;n\geq 2k. \] For related results see the paper of \textit{R. De Vault}, \textit{G. Ladas} and \textit{S. W. Schultz} [Proc. Am. Math. Soc. 126, No.
Mishev, D.P, Patula, W.T
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Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay
Axioms, 2015 In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, \( x(n+1)=f(n,x(n))+\sum_{s=-\infty}^{n}F(n,s, {x(n+s)},x(n)) \), we consider certain stability properties, which are referred
Yoshihiro Hamaya +2 more
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