Improved Centile Estimation by Transformation And/Or Adaptive Smoothing of the Explanatory Variable. [PDF]
Stat MedRigby RA, Stasinopoulos DM, Cole TJ.
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Synchronization control of complex dynamical networks with piecewise constant arguments
Transactions of the Institute of Measurement and Control, 2018 The pinning synchronization problem is investigated for complex dynamical networks with hybrid coupling via impulsive control. Based on the Lyapunov stability theory, some novel synchronization criteria are derived and an impulsive pinning control law is proposed.
Tianhu Yu, Menglong Su
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On numerical approximation using differential equations with piecewise-constant arguments
Periodica Mathematica Hungarica, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferenc Hartung, István Gyori
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On the Differential Equations with Piecewise Constant Argument
Journal of Dynamical and Control Systems, 2022The aim of this paper is to study some class of pseudo \(\mathcal{S}\)-asymptotically \(\omega\)-periodic functions. The authors prove the composition theorem that will be used to prove the existence of \(f\) pseudo \(\mathcal{S}\)-asymptotically \(\omega\)-periodic solution for some differential equations with piecewise constant argument.
Elhadi Ait Dads +2 more
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Global behaviour of a predator–prey like model with piecewise constant arguments [PDF]
Journal of Biological Dynamics, 2015 The present study deals with the analysis of a predator-prey like model consisting of system of differential equations with piecewise constant arguments. A solution of the system with piecewise constant arguments leads to a system of difference equations
Senol Kartal, Fuat Gurcan
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Periodic solutions of a neutral differential equation with piecewise constant arguments [PDF]
Journal of Mathematical Analysis and Applications, 2007 Existence criteria are proved for the periodic solutions of a neutral differential equation with piecewise constant ...
Gen-Qiang Wang
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STABILITY AND BIFURCATION IN A LOGISTIC EQUATION WITH PIECEWISE CONSTANT ARGUMENTS
International Journal of Bifurcation and Chaos, 2009A logistic equation with piecewise constant arguments is investigated. Firstly, the linear stability of the model is studied. It is found that there exists a Hopf bifurcation when the parameter passes a critical value. Then the explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic ...
Chunrui Zhang 0001 +2 more
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Oscillations Of Equations With Piecewise Constant Arguments
1991Abstract As we shall see, within intervals of certain length, each of the above equations has the structure of a continuous dynamical system, while the continuity of the solution at the points that join consecutive intervals leads to difference equations.
I Györi, G Ladas
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An Argument in Favor of Piecewise-Constant Membership Functions
2023Theoretically, we can have membership functions of arbitrary shape. However, in practice, at any given moment of time, we can only represent finitely many parameters in a computer. As a result, we usually restrict ourselves to finite-parametric families of membership functions.
Mizukoshi, Marina Tuyako +4 more
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A nonlinear equation with piecewise constant argument
Applicable Analysis, 1989Oscillation, nonoscillation, asymptotical stability and dynamical behavior of solution of equation are studied.
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