Semidiscretization for Time-Delayed Neural Balance Control [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: The observation that time-delayed feedback can stabilize an inverted pendulum motivates the formulation of models of human balance control in terms of Delay Differential Equations (DDEs). Recently the intermittent, digital-like nature of the neural feedback control of balance has become evident.
Tamas Insperger +2 more
exaly +6 more sources
Complicate dynamical properties of a discrete slow-fast predator-prey model with ratio-dependent functional response [PDF]
Scientific Reports, 2023 Using a semidiscretization method, we derive in this paper a discrete slow-fast predator-prey system with ratio-dependent functional response. First of all, a detailed study for the local stability of fixed points of the system is obtained by invoking an
Xianyi Li, Jiange Dong
doaj +2 more sources
Numerical Investigation of Entropy Generation in Unsteady MHD Generalized Couette Flow with Variable Electrical Conductivity [PDF]
The Scientific World Journal, 2013 The thermodynamic second law analysis is utilized to investigate the inherent irreversibility in an unsteady hydromagnetic generalized Couette flow with variable electrical conductivity in the presence of induced electric field.
T. Chinyoka, O. D. Makinde
doaj +2 more sources
Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation
Mathematics, 2023 In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Shaoxia Jin, Xianyi Li
doaj +1 more source
Quenching for discretizations of a semilinear parabolic equation with nonlinear boundary outflux
Journal of Numerical Analysis and Approximation Theory, 2023 In this paper, we study numerical approximations of a semilinear parabolic problem in one-dimension, of which the nonlinearity appears both in source term and in Neumann boundary condition.
Kouakou Cyrille N'Dri +3 more
doaj +1 more source
Existence of a Generalized Solution for the Fractional Contact Problem
Journal of Mathematics, 2023 In this paper, we take into consideration the mathematical analysis of time-dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation.
Leila Ait kaki +3 more
doaj +1 more source
Fixed Point Theory and Applications, 2017 We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded generator of a C
Mikhail Kamenskii +3 more
doaj +1 more source
On the stability of high-speed milling with spindle speed variation [PDF]
, 2010 Spindle speed variation is a well-known technique to suppress regenerative machine tool vibrations, but it is usually considered to be effective only for low spindle speeds.
BP Mann +43 more
core +4 more sources
Nonlinear Analysis, 2022 A semilinear pseudoparabolic equation with nonlocal integral boundary conditions is studied in the present paper. Using Rothe method, which is based on backward Euler finitedifference schema, we designed a suitable semidiscretization in time to ...
Abdeldjalil Chattouh +2 more
doaj +1 more source
Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes [PDF]
, 2012 We present an abstract framework for analyzing the weak error of fully discrete approximation schemes for linear evolution equations driven by additive Gaussian noise.
A. Bouard de +25 more
core +2 more sources