Results 1 to 10 of about 14,462 (263)
Transversal homoclinics in nonlinear systems of ordinary differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Bifurcation of transversal homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Fečkan
doaj +3 more sources
Neural Ordinary Differential Equations for Nonlinear System Identification
2022 American Control Conference (ACC), 2022 Neural ordinary differential equations (NODE) have been recently proposed as a promising approach for nonlinear system identification tasks. In this work, we systematically compare their predictive performance with current state-of-the-art nonlinear and classical linear methods.
Aowabin Rahman +3 more
openaire +3 more sources
Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 2022 A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov +2 more
doaj +1 more source
Mendel, 2022 This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations.
Werry Febrianti +2 more
doaj +1 more source
Fractal and Fractional, 2022 Differential equations, both fractional and ordinary, give key tools in understanding the mechanisms of physical systems and solving various problems of nonlinear phenomena [...]
Omar Bazighifan
doaj +1 more source
Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
doaj +1 more source
Existence of a Periodic Solution for Nonlinear Systems of Differential Equations with Retarded Argument [PDF]
مجلة التربية والعلم, 2005 In this paper we investigate the existence and approximation of the periodic solutions for nonlinear systems of differential equations with retarded argument, by using the method of periodic solutions of ordinary differential equation which are given be ...
Raad N.Butris, Ayad S.Seeto
doaj +1 more source
Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks
IEEE Access, 2016 With the fuzzy set theory, the uncertainty of nonlinear systems can be modeled using fuzzy differential equations. The solutions of these equations are the model output, but they are very difficult to obtain.
Raheleh Jafari, Wen Yu, Xiaoou Li
doaj +1 more source
Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
doaj +1 more source
On the Positive Solutions of a Model System of Nonlinear Ordinary Differential Equations
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2020 Summary: This article investigates the properties of positive solutions of a model system of two nonlinear ordinary differential equations with variable coefficients. We found the new conditions on coefficients for which an arbitrary solution \((x(t), y(t))\) with positive initial values \(x(0)\) and \(y(0)\) is positive, nonlocally continued and ...
Mirzoodil M. Kobilzoda +1 more
openaire +3 more sources