Results 21 to 30 of about 155 (127)

Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves [PDF]

, 2006
We consider applications of a recently suggested new asymptotic approach to detailed ionic models of cardiac excitation. First, we describe a three-variable approximation for the excitation fronts in a detailed ionic model of human atrial kinetics.
Simitev, R., Biktashev, V.N., Idris, I.
core  

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source

Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control

, 2005
In this work we provide an existence and location result for the third order nonlinear differential equation u′′′(t)=f(t,u(t),u′(t),u′′(t)) where f:[a,b]×R³→R is a continuous function, and two types of boundary conditions u(a)=A, φ(u′(b),u′′(b))=0,
Grossinho, Maria do Rosário, Santos, Ana I., Santos, A.I., Grossinho, M.R., Minhós, F.M., Grossinho, Maria R., Minhós, Feliz M.   +6 more
core   +1 more source

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 1, Page 137-150, January 2026.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source

The legacy of the Cartwright–Littlewood collaboration

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract Mary L. Cartwright and John E. Littlewood published a short “preliminary survey” in 1945 describing results of their investigation of the forced van der Pol equation ÿ−k(1−y2)ẏ+y=bλkcos(λt+a)$$\begin{equation*} \ddot{y}-k(1-y^2)\dot{y}+y = b \lambda k \cos (\lambda t+a) \end{equation*}$$in which b,λ,k,a$b,\lambda,k,a$ are parameters with k$k$
John Guckenheimer
wiley   +1 more source

An Overlapping One‐Step Multiderivative Hybrid Block Method for Solving Second‐Order Initial Value Problems

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a one‐step multiderivative hybrid block method of Order 12 that incorporates an overlapping strategy, in which intrastep points from the previous block are reused in the current step to enhance accuracy and stability when solving linear and nonlinear initial value problems.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Sandile Motsa, Theodore Simos   +4 more
wiley   +1 more source

Semigroups generated by pseudo-contractive mappings under the Nagumo condition

, 2008
Let X be a Banach space whose dual space X∗ is uniformly convex. We demonstrate that, for any demicontinuous, weakly Nagumo, k-pseudo-contractive mapping T:D(T)⊆X→X with closed domain, A=T−I weakly generates a semigroup on D(T). In this paper, we project
Hester, Anthony, Morales, Claudio H.
core   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

SOLVABILITY OF HIGHER-ORDER BVPS IN THE HALF-LINE WITH UNBOUNDED NONLINEARITIES

, 2015
This work presents suficient conditions for the existence of unbounded solutions of a Sturm-Liouville type boundary value problem on the half-line. One-sided Nagumo condition plays a special role because it allows an asymmetric unbounded behavior on the ...
Minhós, Feliz, Feliz Minhós, Hugo Carrasco, Carrasco, Hugo   +3 more
core   +1 more source