Results 141 to 150 of about 166,080,641 (165)

Universal differential equations as a unifying modeling language for neuroscience. [PDF]

Front Comput Neurosci
El-Gazzar A, van Gerven M.
europepmc   +1 more source

The future of mathematical oncology in the age of AI. [PDF]

NPJ Syst Biol Appl
Rockne RC, Andersen M, Anderson ARA, Basanta D, Bentivegna A, Benzekry S, Branciamore S, Brüningk SC, Conte M, Farahpour F, Karolak A, Köhn-Luque A, Lorenzo G, Manookian B, Rodin AS, Schmalenstroer L, Soler J, Tomasetti C, Urbaniak K.   +18 more
europepmc   +1 more source

The effect of stochastic noise on antibiotic resistance in intestinal flora. [PDF]

NPJ Syst Biol Appl
Hu A, Yang L, Yan J.
europepmc   +1 more source

LaF₃ doped with Ce/Gd/Eu: energy transfer and excitation dependence of photoluminescence rise-and-decay kinetics. [PDF]

Front Chem
Shyichuk A, Szeremeta D, Runowski M, Zych E, Lis S.   +4 more
europepmc   +1 more source

Harmonic solutions of periodic Carathéodory perturbations of autonomous ODE's on manifolds

Nonlinear Analysis: Theory, Methods & Applications, 2000
The purpose of this paper is to extend some known results to the specific case of Carathéodory perturbations of autonomous vector fields. The author studies the differential equation \[ dx/dt= g(x)+\lambda f(t, x),\quad \lambda\geq 0,\tag{1} \] on a boundary-less differentiable manifold \(M\subset \mathbb{R}^k\).
Marco Spadini
exaly   +4 more sources

Normal Vectors on Manifolds of Critical Points for Parametric Robustness of Equilibrium Solutions of ODE Systems

Journal of Nonlinear Science, 2002
Considering the parameter space of a physical system described by a nonlinear autonomous ODE, this paper introduces the notion of parametric distance to ``critical'' manifolds. Such manifolds include both the bifurcation sets and the point sets at which the state (or ``phase'' in the dynamics terminology) variables constraints, or output constraints ...
Wolfgang Marquardt, Martin Mönnigmann
exaly   +4 more sources

Remarks on global branches of harmonic solutions to periodic ODE's on manifolds

1997
The study of one parameter families of differential equations is extremely important in order to determine and characterize their harmonic solutions. The main purpose of this paper is to prove, under the assumptions that the Hopf index of ``\(w\)'' (\(w: M\to\mathbb{R}^k\) is the average wind velocity associated with the map \(f\)) in \(\Omega\cap M ...
FURI, MASSIMO, PERA, MARIA PATRIZIA
openaire   +2 more sources

Exploring the gender gap in a closed market niche. Explicit solutions of an ODE model

Journal of Dynamics and Games, 2022
Jorge Zazueta
exaly  

Large time behavior of ODE type solutions to nonlinear diffusion equations

Discrete and Continuous Dynamical Systems, 2020
Kazuhiro Ishige
exaly  

Disturbance solutions for the long–short-wave interaction system using bi-random Riccati–Bernoulli sub-ODE method

Journal of Taibah University for Science, 2020
Mohamed A Sohaly, Yousef Alharbi, Mahmoud Abdelrahman   +2 more
exaly