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
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Nonlinear boundary value conditions and ordinary differential systems with impulsive effects [PDF]
Boundary Value Problems, 2017 We investigate solutions to nonlinear operator equations which are difficult to investigate with variational methods and obtain some abstract existence results by topology degree methods.
Tingting Hu
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Numerical simulation of a nonlinear hepatitis B virus mathematical model using the Dickson collocation technique [PDF]
Scientific ReportsThis work introduces an innovative nonlinear model of hepatitis B virus (HBV) dynamics, emphasizing the utilization of the Dickson collocation method for numerical simulation.
Atallah El-Shenawy +2 more
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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
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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
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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.
Rahman, Aowabin +3 more
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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
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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
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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
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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
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